Is x + 5 a factor of P(x) = x ^ 3 + 4x ^ 2 + 2x + 35

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

If ( x + 5) is a factor of p(x) then p(- 5) = 0

p(- 5)

= (- 5)³ + 4(- 5)² + 2(- 5) + 35

= - 125 + 100 - 10 + 135

= 0

Since p(- 5) = 0 then (x + 5) is a factor of p(x)

Answer 2

Answer:

(x +5 ) is a factor

Step-by-step explanation:

x + 5 = 0

x = -5

P(x) = x³ + 4x² + 2x + 35

P(-5) = (-5)³ + 4*(-5)² + 2*(-5) + 35

      = -125 + 4*25 - 10 + 35

     = -125 + 100 - 10 + 35

     = -25 -10 +35

     = -35 + 35

    = 0

P(-5) = o. So, (x +5 ) is a factor


Related Questions

Lisa buys 0.56 pound of pasta. marlana buys 0.27 pound of pasta. how much do they buy in all?​

Answers

Answer:

0000000000000000000000.83 pounds

They buy 0.83 ponds of pasta in all.

1
0.56
+ 0.27
————-
0.83

1. Y+7=-10
2. 8=x+5
5. r+4=7
6.-11+y= -8​

Answers

Answer:

1. 3

2. 3

5. 3

6. 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. y = -17

2. x = 3

5. r = 3

6 y = 3

A 52 foot piece of fishing line needs to be cut into 2 1/2 sections to make as many fishing rods as possible. How much of the fishing line will be left over?

Answers

72 buddy here to help

The table in part C did not have a row for 100. Look at the values of other powers of 10 in the table. Given the pattern of the values, what would the value of 100 be?

Answers

Answer: 10

Step-by-step explanation:

Answer:

its 1 I did it and the edmentum answer says its 1

Simplify so it's in slope-intercept form (y=mx+b)

y - 125 = 55(x - 2)

Answers

Answer:

y = 55x + 15

Step-by-step explanation:

i think this is it, but it might not be right

chile yall i need HALP

Answers

Answer:

indian ocean

Step-by-step explanation:

Indian Ocean ..............

Pls pls pls help!! And thank you I’m stuckk

Answers

Answer:

C = 12π

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter )

Here d = 12, then

C = 12π

Write the compound inequality: " A number n is less than or equal to -7 or greater than 12

Answers

Let the number be n, then -1<3n+5<38 or -1≤3n+5≤38 depending on what is meant by “between”. We’ll assume the former.

-1<3n+5<38, subtract 5 throughout: -6<3n<33, divide through by 3: -2<n<11, shows the number to be in the range (-2,11) or possibly [-2,11].

can i have some help please( BRAINLLEST)

Answers

Answer:

2

-3

same thing

Step-by-step explanation:

Which number is equivalent to 3^4}{3^{2

Answers

Answer:

i get 81 correct me if im wrong

Step-by-step explanation:

3^4 / 3^2

=3^4-2

=3^2

=9

Beth has had her car for a while and knows that it gets pretty good gas mileage On a recent business trip she used 16.25 gallons of gas and drove 471 miles. To the nearest tenth of a mile, what was her gas mileage? OA) 29 0 mpg OB) 30 0 mpg OC) 28.5 mpg OD) 270 mpg​

Answers

Answer:

A) 29.0 mpg

you divide 471 by 16.25

With explanation please, step by step if is necessary, I need heeelp!

Answers

Answer:

[tex]area \: of \: the \: circle \: = \: \pi {r}^{2} \\ so \\ \: 10 = \pi {r}^{2} \\ {r}^{2} = \frac{10}{\pi} \\ r = \sqrt{ \frac{10}{\pi} } \\ r = \frac{ \sqrt{10} }{ \sqrt{\pi} } \\ r = \frac{ \sqrt{10} \times \sqrt{\pi} }{ \sqrt{\pi} \times \sqrt{\pi} } \\ r = \frac{ \sqrt{10\pi} }{\pi} \\ since \: d \: = 2r \\ so \\ d = 2( \frac{ \sqrt{10\pi} }{\pi} ) \\ \\ d = \frac{2 \sqrt{10\pi} }{\pi} \\ since \: circumferenc \: = 2r\pi \\ so \: circumference = 2( \frac{ \sqrt{10\pi} }{\pi} )\pi \\ = 2( \sqrt{10\pi} ) \\ = 2 \sqrt{10\pi} [/tex]

X – y=11
3x + 10y= -6

Answers

Answer:

(8, - 3 )

Step-by-step explanation:

Given the 2 equations

x - y = 11 → (1)

3x + 10y = - 6 → (2)

Multiplying (1) by 10 and adding to (2) will eliminate the y- term

10x - 10y = 110 → (3)

Add (2) and (3) term by term to eliminate y

13x + 0 = 104

13x = 104 ( divide both sides by 13 )

x = 8

Substitute x = 8 into either of the 2 equations and solve for y

Substituting into (2)

3(8) + 10y = - 6

24 + 10y = - 6 ( subtract 24 from both sides )

10y = - 30 ( divide both sides by 10 )

y = - 3

solution is (8, - 3 )

Andrew cut a rectangular piece of wood along a straight line, as shown below. K110° Andrew calculated that x = 70°. Which of the following statements justifies Andrew's calculations? A Vertical angles are congruent. B. Altemate exterior angles are congruent. C. Consecutive interior angles are supplementary. D. Adjacent angles formed by perpendicular lines are complementary, Ο Α B C D PLEASEEEEEE HELP ME FAST !! ​

Answers

Answer:

C. Consecutive interior angles are supplementary

Step-by-step explanation:

Andrew calculated it correctly

Angles 110 and x are supplementary as consecutive interior angles

110 + x = 180x = 180 - 110x = 70

Correct choice is C

Answer:

C

Step-by-step explanation:

The cost of a mobile phone processor is directly proportional to its speed.

A 2GHz mobile costs £500.

Let x be the speed of a processor in GHz

Let y be the cost in pounds.

Find a formula linking the variables.

Answers

Answer: See explanation

Step-by-step explanation:

We are going to use the formula used in calculating direct proportion which is equal to:

y = kx

where,

x = speed of a processor in GHz

y = the cost in pounds

Therefore, y = kx

500 = 2k

Therefore, y = 2k

Jackson biked k kilometers. Maria biked 8 more kilometers than Jackson. Peter biked 2 fewer kilometers than Jackson.

Drag and drop the expressions into the boxes to write an expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all.

k
8
12
k+2
k+8
k+10
k-2
k-8

Answers

Answer:

Step-by-step explanation:

The expression for the total distance covered.

k + (k + 8) + (k - 2)

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Distance biked:

Jackson = k

Maria = k + 8

Peter = k - 2

Now,

The total distance biked.

= k + k + 8 + k - 2

= 3k + 6

= 3 (k + 2)

Thus,

The total distance covered is 3 (k + 2).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Anthony scored 28 points in a recent basketball game. He made a total of 12 baskets. How many 2 and 3 point shots did he make? (Consider only the 2 and 3 point shots: no free throws)

Answers

Answer:

8 2-point shots and 4 3-point shots

Step-by-step explanation:

Anthony scored 28 points with 12 baskets. Saying that, (with x-y representing 2 point shots-3 point shots) any combination with a supermajority (at least 75% of) of either shot is out. This leaves just 5 possible combinations. 8-4, 7-5, 6-6, 5-7, and 4-8. Multiply the first number by 2 and the second by 3.

(4 * 2) + (8 * 3) = 8 + 24 = 32 points, so no.

(5 * 2) + (7 * 3) = 10 + 21 = 31 points, so no.

(6 * 2) + (6 * 3) = 12 + 18 = 30 points, so no.

(7 * 2) + (5 * 3) = 14 + 15 = 29 points, so no as well.

(8 * 2) + (4 * 3) = 16 + 12 = 28 points, so this is the combination we're looking for.

15 out of 50 students have pets at home. What percent of the students have pets at home?

Answers

Answer:

7.5

Step-by-step explanation:

divide 15 and 50

ASAP!!! please help! thanks.​

Answers

Answer:

I think A is the right answer

Since people are sad they missed my 50 points, here is 100 points for the first 2 to answer. First one gets branliest aswell.

Answers

Ummm is there something I Guccie

Please help I’ll mark you as branlst

Answers

Answer:

6

Step-by-step explanation:

Since the degree of the angle is 45, we know that the triangle is isosceles. That means that the sides of the triangle, not including the hypotenuse, has a length of 3√2.

Using the Pythagorean theorem, which is a^2 + b^2 = c^2, we have (3√2)^2 + (3√2)^2 = c^2.

Note: c is the hypotenuse of the triangle.

18 + 18 = c^2

= 36 = c^2

Therefore, c = 6.

State whether the given scale factor would "enlarge", "reduce" or preserve" the size of a figure.

Scale Factor=0.75

Answers

wanna see my archanine pokemon card

Joe has a rectangular garden that is 6 meters by 5 meters. He wants to enlarge the garden and make it 12 meters by 10 meters. What would this do to the area of his garden?
a. It would be tripled.
b. It would be cut in half.
c. It would be quadrupled.
d. It would be doubled.

Answers

Answer:

5 X 6 = 30

12 X 10 = 120

120/30 = 4

answer is C quadrupled

maya joins two peices of wood together one peice is 36 inches long the total lenght of both peices is 62 how long is the other peice of wood


help ;-;...

Answers

Answer: 26

Step-by-step explanation:

62-36=26

Answer: 26

You simply have to subtract 36 from 62

Pls helppp and thank you

Answers

Answer:

∠ 2 = 60°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles fro 180° for ∠ 2, that is

∠ 2 = 180° - (57 + 63)° = 180° - 120° = 60°

Find the value of x.
34
х
30
x =

Answers

Answer:

If you're multiplying them: 34x * 30x = 1020x^2

If you're adding them: 34x + 30x = 64x

If you're subtracting them: 34x - 30x = 4x

Step-by-step explanation:

2x+8y=56 on a 10x 10 grid

Answers

Answer:

Step-by-step explanation:

Simplifying

2x + -8y = 56

Solving

2x + -8y = 56

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8y' to each side of the equation.

2x + -8y + 8y = 56 + 8y

Combine like terms: -8y + 8y = 0

2x + 0 = 56 + 8y

2x = 56 + 8y

Divide each side by '2'.

x = 28 + 4y

Simplifying

x = 28 + 4y

(3) Find the value of x.

Answers

Answer:

x=4

Step-by-step explanation:

since triangles are proportional by 2:1, then:

16/2=3x-4

8=3x-4

3x=12

x=4

The second number in an ordered pair of numbers that corresponds to a point on a coordinated system is the

Answers

X plot I thing truly I have no clue
The second number is the y-coordinate (the first number is the x-coordinate)

A car travels 72 miles on 6 gallons of gas. At that rate, how much gas will it need to travel 204 miles?

Answers

Answer:

17 gallons

Step-by-step explanation:

First find how many miles it can travel with 1 gallon which would be 72÷6 = 12 So 1 gallon can takes it to 12 miles

Do 204÷ 12 = 17

Answer:

17 galloons

Step-by-step explanation:

72 Miles= 6 galloons

144 miles = 12 galloons

204 miles = 17 galloons

in every 12 miles is equivalent to 1 galloon of gas so basically when you divide 204 into 12 you will get 17. you need 17 galloons of gas

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