Factor f(x) 3x^3-4x^2-28x-16 given that (x+2) is a factor

Answers

Answer 1

Step-by-step explanation:

3x³ - 4x² - 28x - 16

= (x + 2)(Ax² + Bx + C)

= Ax³ + (2A + B)x² + (2B + C)x + 2C.

By Comparing Coefficients, we have:

A = 3,2A + B = -4,2B + C = -28,2C = -16.

Solving them will give A = 3, B = -10 and C = -8.

Hence 3x³ - 4x² - 28x - 16

= (x + 2)(3x² - 10x - 8)

= (x + 2)(3x + 2)(x - 4).

The answer is f(x) = (x + 2)(3x + 2)(x - 4).


Related Questions

Simplify 3^8 x 3^4 divided by 3^2 x 3^8 in index form

Answers

3^2
Here’s the working out;

 thanks for the help but I need this answer please!!!

Answers

Answer:60 degrees

Step-by-step explanation:

Your other angle is 120 - a straight line has angles must add up to 180. 180-120=60 degrees

3y+2x-4+5x+7
Simplify

Answers

Answer:

3y+7x+3

Step-by-step explanation:

3y+2x+5x-4+

=3y+7x+3

$9000 principal earning 5% compounded annually, after 6 yr

Answers

Answer:

the answer is

$12,130.64

PLS help!!
Function 1 is defined by the equation d=-3/7t-4
Function 2 is defined by the following table.

Which Function has a more negative slope?
O function 1
O function 2
O both have the same slope

Answers

Answer:

function 2

Step-by-step explanation:

Answer:

Function 2

Step-by-step explanation:

Jamie spent 1 ½ hours swimming in the pool on Monday. On Tuesday, she swam for 2 ¼ hours. How many hours did Jamie swim in all?

Answers

I believe she swam for 3 3/4 in all.

Answer:

3 3/4

Step-by-step explanation:

When dilating a triangle, to enlarge the triangle you must use a scale factor that is:
A) a number > 1
C) a number = 1
B) a number < 1
D) a number = 0

Answers

Answer:

is D

Step-by-step explanation:

because it's the answer

Answer:

o

Step-by-step explanation:

scale factor= 0..........

What effect does inflation have on the prices of goods and services?

A. Prices decrease

B. Prices double

C. Prices increase

D. Prices stay the same

Answers

Answer:

C, price increases

Step-by-step explanation:

this is correct I promise you.

Answer:

C

Step-by-step explanation:

Prices increase because there is a higher demand for the product, but it does not double because each individual seller can set their price.

can someone help me please? find the value of each variable..

Answers

Answer:

x = 4, y = 3

Step-by-step explanation:

A. ( x + 5)

B. ( x - 5 )

C. ( x + 3 )

D. ( x - 3 )

Answers

Answer:

(x + 5) B. (x - 5) C. (x + 3) D. (x - 3) = = 0

Step-by-step explanation:

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.

Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.

An asterisk * or × is the symbol for multiplication.

Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.

The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

What is X+Y?? and ( x+ y)- 7+8

Answers

Step-by-step explanation:

What is X+Y?

First note that if x + y = xy then neither x nor y can be equal to 1.

That being said, as a previous user already noted y = x/(x-1) and hence x - y = x - x(x-1) = x(x-2)/(x-1). Assume x - y = D. Then your question becomes what can D be so that the equation x(x-2)/(x-1) = D has a solution different than 1.

Rewrite this equation as x(x-2) = D(x-1) and note that x(x-2) = (x-1)^2 - 1. Replace x - 1 with z. So your question is what can D be so that the equation z^2 - 1 = Dz has a nonzero solution? Given that 0 cannot be a solution anyway of the previous equation. The question is really, for which D does the quadratic equation z^2 - Dz - 1 = 0 have solutions? By elementary 9th grade math, this equation has a solution when its discriminant D^2 + 4 is nonnegative. But D^2 + 4 is strictly positive regardless of the value of D. Hence D can be anything.

How to solve your question

Your question is

(+)−7+8

Simplify

1. Eliminate redundant parentheses

(+)−7+8

+−7+82

Add the numbers

+−7+8

++1

Solution

++1

24x0. 6x1. 21x2. 11x5

Answers

Answer:

24

6

42

55

Step-by-step explanation:

Answer:

24×0=0

6×1=6

21×2=42

11×5=55

Plzzzzz give me Brainliest!!!!!  

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular shows. One night the theater sells 578 tickets and collects $3365 in total ticket sales. Whích system best represents the situation?​

Answers

Answer:

4x + 7y = 3365

x + y = 578

x = matinees

y = regular

Step-by-step explanation:

Given

$4 = matinees

$7 = regular

Total tickets = 578

Money collected = $3365

If one calls the amount of matinees that when "x" and the amount of regulars that went "y", then one can form the system;

4x + 7y = 3365

x + y = 578

Solving the system;

Multiply the second equation by (-4)

4x + 7y = 3365

-4x - 4y = -2312

Add the equations

4x + 7y = 3365

-4x -4y = -2312

3y = 1053

Inverse operations

3y = 1053

/3        /3

y = 351

x = 227

Which equation represent a circle with a center at (2,-7) and a radius of 4 units ?

Answers

Answer:

[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]

Step-by-step explanation:

[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]

Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked. She had to pay an 8% sales tax on the amount she actually paid for the bike what was the total cost of the bike including tax

Answers

Answer:

$275.562

Step-by-step explanation:

Step 1

Find the discounted price

Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked.

Discount = $315 × 19%

= $59.85

Discounted price = $315 - $59.85

= $255.15

Step 2

Sale Tax

She had to pay an 8% sales tax on the amount she actually paid for the bike

Hence:

$255.15 × 8%

Sale Tax = $20.412

Step 3

The total cost of the bike including tax is calculated as:

$255.15 + $20.412

= $275.562

Help please will mark brainliest

Answers

Answer:

False

Step-by-step explanation:

Line a

y = 5x - 6, it has slope of 5

Line b

x + 5y = 5

Rewrite in slope-intercept form to find its slope:

5y = -x + 5y = -1/5x + 1It has slope of -1/5

Lines have different slopes: 5 and -1/5, therefore are not parallel

Answer:

The answer to the question provided is False.

Step-by-step explanation:

‣We are going to have to find the value of y for line b.

‣We are going to solve its equation.

[tex]x + 5y = 5 \\ \frac{- x \: \: \: \: \: = - x}{ \frac{5y}{5} = \frac{ - x + 5}{5} } \\ y = - \frac{1}{5} x+ 1[/tex]

‣So we have:

[tex]y = 5x - 6 \\ and \\ y = - \frac{1}{5} x + 1[/tex]

‣Remember that a slope is parallel to another slope if it has the same slope.

‣A slope is perpendicular to another slope if it has a negative reciprocal.

‣The slopes we have don't have the same slope, but they are perpendicular.

Harry is reading a book that is 597 pages long. He tells a friend that he is about 2/3 of the way done. About how many more pages must Harry read before he finishes the book?

Answers

Answer:

This reading habit has helped me finish 7 books in 10 weeks. ... reports he had brought with him and said, “Read 500 pages like this every day. ... You simply have to make time to read.

A Ik for sue that the answer is 199

There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?

Answers

Answer:

The ratio of number of purple beads to the number of pink beads is: 15:31

Step-by-step explanation:

Number of pink beads = 31

Number of Purple beads = 15

We need to find ratio of number of purple beads to the number of pink beads

So, The ratio of number of purple beads to the number of pink beads is:

Number of purple beads : Number of pink beads

15 : 31

Since it cannot be simplified further, So

The ratio of number of purple beads to the number of pink beads is: 15:31

180° rotation
Pre rotation points

Answers

Answer:

whats the question???????????

Sue is thinking of buying some 2-liter sodas which are on sale for $1.25 each. The total cost, c, ofall the 2-liter sodas will be proportional to the number of 2-liter sodas, s, that she buys.Which equation represents the relationship between cand s?

Answers

Ways to get 2$ is easy just multiply

I WILL GIVE BRAINLY IF RIGHT Malia drew the hexagon below what is the measure of each angle of the hexagon

A. 60 degrees
B. 90 degrees
C. 120 degrees
D. 144 degrees

Answers


A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.

Answer:

120 Degrees

Step-by-step explanation:

A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.

factor x^3 +7x^2−5x−35

Answers

Answer:

(x^2-5)(x + 7)

Step-by-step explanation:

Here, we want to factorize the given expression

That would be;

x^2(x + 7) - 5(x + 7)

= (x^2-5)(x+ 7)

Answer:

(x+7) (x^2 - 5)

Step-by-step explanation:

x

3

+7x

2

−5x−35

=x

2

(x)+x

2

(7)−5(x)−5(7)

=x

2

(x+7)−5(x+7)

Now we are left with a common factor of (x+7)(x+7)left parenthesis, x, plus, 7, right parenthesis, so we can factor it out:

\begin{aligned} &\phantom{=}x^2\purpleC{(x+7)}-5\purpleC{(x+7)} \\\\ &=\purpleC{(x+7)}(x^2-5) \end{aligned}

 

=x

2

(x+7)−5(x+7)

=(x+7)(x

2

−5)

Which graph has a slope of -3?

Answers

D.

Its the only one going down 3 and over 1.

The answer would be D because it says -3 and not just 3.

Explain how to find the constant rate of change from the verbal description below.

Joe can drive his motorcycle 124 miles in 2 hours. If he goes at a constant speed what is the constant rate of change? (solve it but also explain how you would solve it)

Answers

Answer:

62miles/1hr

Step-by-step explanation:

In order to get the rate of change I divided 124 miles by 2 hours to get 62 miles.

The manager of an amusement park is setting the price of a wookend admission to the
park based on a summer membership of $78. Sho wants the summer membership to bo
$12 loss than 3 times the cost of a wookend pass to the park. Which equation can the
amusement park manager use to find, x, the cost of the wookend admission?


I NEED THIS ANSWER RNN
PLEASEEEEEE 30 points 30 points 30 points

Answers

Step-by-step explanation:

We have

Summer membership + $12 = 3(Weekend pass).

=> ($78) + ($12) = 3x

=> 3x = $90

=> x = $30.

Hence the weekend admission is $30.

Answer:

3x-12=78

Step-by-step explanation:

This is my thinking:

So because x is the cost of the weekend admission, the problem says 12 less than 3 times the cost of the weekend admission. The 3 times the cost of the weekend admission is the 3x, and the problem says 12 less than and that is the -12. And the whole equation is being taken from 78, so

3x-12=78.

8cm
20cm
What is the volume of this cylinder?

Answers

Answer:

4021.2386 cm ^3

Step-by-step explanation:

V = πr2h = π·82·20 = 4021.2386 cm ^3

Write 0.721 as a fraction. Show your work.

Answers

Step-by-step explanation:

721/100

It is correct answer

It would be 721/1000
(If you want me to explain I can)

Hope this helps

Have a great day/night

please help, urgent. picture shown.

Answers

Answer: 80

Step-by-step explanation:

First, find the area of the square by doing 12 x 12. (Which = 144)

Then, find the area of the circle. This is found by using the formula of 1/4 • π • 9 squared.

This should get you 63.62, or 64 when rounded up.

You then subtract 64 from 144 and get 80 for your answer.

help Math 39 points Asap Probability image below

Answers

Answer:

1/10

Step-by-step explanation:

There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.

There are five marbles altogether.

First is 2/5

The second blue is 1/4

The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10

How to solve this I need it done by tonight please

Answers

Step-by-step explanation:

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