Simplify using Synthetic Division

Simplify Using Synthetic Division

Answers

Answer 1
Step 1
Write down the first coefficient without changes:
−3223−10−3
−3
2
3 −10 −3
2

Step 2
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223(−3)⋅2=−63+(−6)=−3−10−3

3
2
3
−10 −3
(

3
)

2
=

6
2
3
+
(

6
)
=

3

Step 3
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223−6−3−10(−3)⋅(−3)=9(−10)+9=−1−3

3
2 3

10
−3 −6
(

3
)

(

3
)
=
9
2

3
(

10
)
+
9
=

1

Step 4
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223−6−3−109−1−3(−3)⋅(−1)=3(−3)+3=0

3
2 3 −10

3
−6 9
(

3
)

(

1
)
=
3
2 −3

1
(

3
)
+
3
=
0

We have completed the table and have obtained the following resulting coefficients: 2,−3,−1,0
2
,

3
,

1
,
0
.
All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.
Thus, the quotient is 2x2−3x−1
2
x
2

3
x

1
, and the remainder is 0
0
.
Therefore, 2x3+3x2−10x−3x+3=2x2−3x−1+0x+3=2x2−3x−1
2
x
3
+
3
x
2

10
x

3
x
+
3
=
2
x
2

3
x

1
+
0
x
+
3
=
2
x
2

3
x

1
Answer: 2x3+3x2−10x−3x+3=2x2−3x−1+0x+3=2x2−3x−1

Related Questions

Please help me I really need it

Answers

Answer:

Step-by-step explanation:

multiply all number then add it to 32

(03.01) Which of the following is a factor of x2 − 6x − 27? (1 point) Select one: a. x + 3 b. x + 9 c. x − 1 d. None of the above

Answers

Answer:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\pink{\bigstar}[/tex] The factor of given expression is [tex]\large\leadsto\boxed{\tt\purple{Option.a \rightarrow (x+3)}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Given:-

- 6x - 27

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Solution:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Splitting the middle term:-

➪ x² - 9x + 3x - 27

➪ x(x - 9) + 3(x - 9)

(x -9) (x +3)

Therefore, the factors of the given expression are (x - 9) and (x +3).

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Hence, Option A. i.e (x + 3) is the correct choice.

Answer:

[tex] {x}^{2} - 6x - 27 \\ factorise \\ {x}^{2} - 9x + 3x - 27 \\ = take \: x \: from \: first \: two \: terms \\ and \: 3from \: last \: two \: terms \\ then \\ x(x - 9) + 3(x - 9) \\ here(x - 9)is \: commen \\ so(x - 9)(x + 3) \\ (1)is \: ur \: answer \: it \: is \: x + 3 \\ thank \: you[/tex]

PLEASE HELP i have to turn this at the end of the day! PLEASE DONT GUESS! :)

Answers

Answer:

x = 13, z = 184

Step-by-step explanation:

(14x-94) = 88

14x = 182

x = 13

z = 360 - 88*2 = 360 - 176 = 184

Answer:

x = 13; z = 92

Step-by-step explanation:

88 = 14x - 94

14x = 182

x = 13

180 = z + 88

z = 92

Look at the picture

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

When angles are between the parallel lines, they are called interior. If they are both on the same side of the transversal, they are "same-side interior."

If angles are on opposite sides of the transversal, they are exterior.

If angles are in the same direction from the intersection point, they are corresponding.

Angles in opposite directions from the point of intersection are vertical angles.

  same-side interior: {3, 5} and {4, 6}. (supplementary)

  same-side exterior: {1, 7} and {2, 8}. (supplementary)

  alternate interior: {3, 6} and {4, 5}. (congruent)

  alternate exterior: {1, 8} and {2, 7}. (congruent)

  corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)

  vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)

Angles 6 and 4 are same-side interior angles; their sum is 180°.

38 is what percent of 84 (to the nearest percent)?

Answers

Answer:

45.24

Step-by-step explanation:

Percentage Calculator: 38 is what percent of 84? = 45.24.

Answer:

45%

Step-by-step explanation:

84÷100=0.84

38÷0.84=45.24 rounded that is 45%

HELP NOW !! The gravitational force that an object of mass m, has with another object of mass , can be found using the formula
F=G
F = the magnitude of the gravitational force between the two objects
G= the gravitational constant
m = the mass of the first object
me the mass of the second object
-= the distance between the two objects
Draga term to each box to show the gravitational force equation when solving for me.
Gm
Fm
ma
G

Answers

Answer:

M₁=Fr²/GM₂

Step-by-step explanation:

The original formula is

F = GM₁M₂/r²

Rearrange it so M₁ is isolated:

Fr²=GM₁M₂

M₁=Fr²/GM₂

PART A
3 less than half a number is 10
Write an expression to represent this situation.

Answers

Answer:

n/2 - 3 = 10 represents this situation

Step-by-step explanation:

Let the number be n.  Then:

n/2 - 3 = 10 represents this situation.

Answer:1/2x-3=10

Step-by-step explanation:

Raul used the steps shown below to solve the equation. In which step did Raul make a mistake?
5x-3(2x+7)=2x+9
Step 1: 5x-6x-21=2x+9
Step 2: -11x-21=2x+9
Step 3: -12x=30
Step 4: x=-30/12

A. Step 1
B. Step 2
C. Step 3
D. Step 4

Answers

I think it’s step 2 or 3 I’m not sur

Answer:The answer is B, step two

Step-by-step explanation:5x-6x equals to -1x

Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. 2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. 3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote.
4. If Kevin wrote 21 posts, how many did Cheryl write?

Answers

Answer:

Cheryl writes 7 fewer posts than Kevin on a social media site.

Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.

1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)

The expression will be P for "of posts Kevin writes." 

2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)

 The operation I will use is subtraction so P-7.

3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)

Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )

4. If Kevin wrote 21 posts, how many did Cheryl write? (3 points)

Cheryl wrote 14 posts, because 21 - 7 = 14

Hope this helps <3

1. We have chosen a variable 'x' to represent the number of posts by Kevin.

2. Subtraction applies to this situation.

3. The number of posts written by Cheryl is (x - 7).

4.  If Kevin wrote 21 posts, Cheryl wrote 14 posts.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Let, Kevin writes 'x' number of posts,

Therefore, Cheryl writes (x - 7) posts.

We could have chosen any letters for the number of posts Kevin writes,

And as Cheryl writes fewer posts than Keving we subtracted the number.

If Kevin writes 21 posts, 'x' is 21, And hence Cheryl has written,

(21 -7).

= 14 posts.

learn more about equations here :

https://brainly.com/question/10413253

#SPJ1

HELP IM TIMES FOR 20 MINUTES! IVE BEEN ON THIS FOR THE LONGEST!

Answers

Answer:

Point d

Step-by-step explanation:

because the x is -2 and the y is 3 so you look for the x and then the y

Simplify.
Rewrite the expression in the form 4^n.
4^8
4^3

Answers

1024 i hope its the answer

quadrilateral ABCD is a kite with an area of 14cm squared. the length of ED is 5 cm. what is the length of BE?

Answers

Answer:

85

Step-by-step explanation:

The length of BE is 5.6 cm.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

The area of a kite can be calculated as;

A = d1 x d2 / 2

WE are given the parameters as;

d1 = ED = 5 units

A quadrilateral ABCD is a kite with an area of 14cm squared.

Therefore,

14 = 5 x BE / 2

14 x 2 = 5  BE

28 = 5 BE

BE = 5.6 cm.

Learn more about quadrilaterals here:

https://brainly.com/question/1365755

Driving would be more pleasant if we didn't have to put up with the bad habits of other drivers. A newspaper reported the results of a Valvoline Oil Company survey of 500 drivers in which the drivers marked their complaints about other drivers. The top complaints turned out to be tailgating, marked by 22% of the respondents; not using turn signals, marked by 19%; being cut off, marked by 14%; other drivers driving too slowly, marked by 9%; and other drivers being inconsiderate marked by 5%.

Required:
Make a Pareto chart showing percentage of drivers listing each stated complaint.

Answers

Answer and Explanation:

The Pareto chart is used in descriptive statistics and shows graphically the most frequent occurencies(complaints in this case) using bars and lines.

Please find attached

A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)

Answers

Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

5 percent of these are defective.

This means that [tex]p = 0.05[/tex]

If two items are randomly selected as they come off the production line, what is the probability that both are defective

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]

0.0025 = 0.25% probability that both are defective

How much more than 1/4 cup is 3/4 cup?

Answers

Answer:

half a cup

Step-by-step explanation:

75% minus 25% is 50% aka 1 half

Half cup or .5 of a cup

Please help me on this question 30 points on the line ​

Answers

Answer:

4(x-3) = 8

Step-by-step explanation:

4 times the difference would be 4(x-y), and we already know what y is, which is 3. Finally, the "is 8" means "equals 8" giving us our equation: 4(x-3) = 8.

Answer:

4(x-3) = 8

Step-by-step explanation:

Help help help help help

Answers

I gotta take a big śhit

solve the following problem. round to one decimal place if necessary. if your answer is correct you will see an image appear on your screen

Answers

Answer:

theres no picture

Step-by-step explanation:

HELPPPPP GUYS I NEED IT AND IM NOT GOOD AT MATH!!

Answers

Answer:

-21

Step-by-step explanation:

Answer:

Option b-21

As coefficient is the number before variables

and here the number before is -21

HELP PLEAASE I WILL GIVE BRAINLIEST PLSSSSSS I WILL GIVE BRAINLIEST

Answers

Answer:

It is B

Step-by-step explanation: n is -1.5 and m is 2.5

-1.5 + 2.5 = 2

Answer:

I feel like it is the second one B

Step-by-step explanation:

Because it is the one that makes sense and is true.

Xavier opened a savings account with a deposit of $12,000.

The account earned simple interest.
He did not make any additional deposits or withdrawals.
At the end of 3 years, the account balance was $12,324.
What is the annual interest rate on this account?


0.9%

1.8%

2.7%

3.6%

Answers

Answer:

the answer is 236.25

Step-by-step explanation:

The interest rate on annual basis on the given account should be considered as 0.9%.

Calculation of the annual interest rate:

Here the interest amount be

= Future value - principal

= $12,324 - $12,000

= $324

Now the interest rate be like

Interest = Principal * rate * time period

$324 = $12,000 * rate * 3/ 100

So, the rate be 0.9%.

Hence, The interest rate on annual basis on the given account should be considered as 0.9%.

Learn more about interest rate here: https://brainly.com/question/14191952

Find the area of the following shape:

Answers

Answer:

63 in^2

Step-by-step explanation:

Area = base x height

Base: 7

Height: 9

9 x 7 = 63

Answer:

63 inches squared or [tex]63in^{2}[/tex]

Step-by-step explanation:

The answer is 63 inches squared.

The area of a parallelogram is always base times height.

In this case, the base is seven and the height is nine.

To find the area, we must multiply nine by seven

We get 63

But, we are multiplying inches and inches together

When we multiply something by itself, it becomes squared

Since we are multiplying inches by inches, it becomes inches squared

Therefore, the area of the shape is 63 inches squared, or

[tex]63in^2[/tex]

Edward runs 30 miles in 5 days. Martha runs 28 miles in 4 days. Who runs more miles per day?

Answers

Edward because they completed more days and miles !!
Martha because 4 (days) divided by 28 (miles) is 7 (miles)

A test is worth 60 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 5 points. If the test has 15 questions, how
many multiple-choice questions are there?
O A. The number of multiple-choice questions minus the number of
short-answer questions is 60.
OB. The number of multiple-choice questions times the number of
short-answer questions is 15.
C. The number of multiple-choice questions plus the number of
short-answer questions is 15.
D. The number of multiple-choice questions plus the number of
short-answer questions is 60

Answers

Answer:

C. The number of multiple-choice questions plus the number of

short-answer questions is 15.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of multiple-choice questions

y is the number of short-answer questions.

Multiple-choice questions are worth 2 points, and short-answer questions are worth 5 points.

This means that:

[tex]2x + 5y = 60[/tex]

The test has 15 questions.

This means that:

[tex]x + y = 15[/tex].

Which means that option C is the correct answer.

Answer:

C. The number of multiple-choice questions plus the number of short-answer questions is 15.

Step-by-step explanation:

x + y = 15

please help meeeeeeeeeeesssssssssssss

Answers

Answer:

384 cm^3

Step-by-step explanation:

(16 times 4) times 6 = 384   :D

A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals.What is the value of the test statistic to see if the correlation is statistically significant

Answers

Answer:

Hello your question has a disjointed equation attached to it and it is also incomplete attached below is the correct and complete question

A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below

answer :

y-intercept = 25.9047

 slope = 2.8420

Step-by-step explanation:

Determine the slope for the regression equation and y intercept

The regression equation ( gotten using excel ; attached below is the excel sample on how the equation was gotten )

y = 25.9047 + 2.8420x

from the equation gotten above

y-intercept = 25.9047

slope = 2.8420

Brian goes to school 6 hours per day, and sleeps for 9 hours per day. What is the ratio of hours Brian works to hours Brian sleeps?​

Answers

Answer:

6:4:9 Yw❤️

Step-by-step explanation:

List two examples of words/phrases that describe the mathematical operation of multiplication.

Answers

Answer:

Multiplied, Group Addition

Step-by-step explanation:

Again, all I know of.

Katia has 7 chairs she wants to paint. If it takes 2/3 can of spray
paint to paint a chair, how many cans of spray paint does Katia
need?

Answers

Answer:

4 2/3

Step-by-step explanation: You would do 7 × 2/3, but you cannot do that so you have to make the 7, 7/1 and than it is 7/1 × 2/37/1 × 2/3 =First step: Multiply the top: 7 × 2 = 14Second step: Multiply bottom: 1 × 3 = 3Answer: 14/3 and than you simplify to 4 2/3

write a function to match the function machine
Multiply the input by -3, then
subtract 2

Answers

Answer:

The required function is:

f(x) = 3x - 2

Please check the attached graph.

Step-by-step explanation:

We need to write a function to match the function machine  multiply the input by -3, then  subtract 2.

Let 'x' be the input.

Multiply the input by 3 is: 3xSubtract 2: 3x - 2

Therefore, multiply the input by -3, then  subtracting 2 would give us the result:

f(x) = 3x - 2

Therefore, the required function is:

f(x) = 3x - 2

Please check the attached graph.

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