## Question 1: Which expression correctly shows 2x^5−54x^2 factored over the integers using the difference of cubes method? a. (x−3

Question

Question 1: Which expression correctly shows 2x^5−54x^2 factored over the integers using the difference of cubes method?

a. (x−3)(x^2+3x+9)

b. x^2(2x−54)(4x^2+54x+2916)

c. 2x^2(x−3)(x^2+3x+9)

d.The polynomial cannot be factored over the integers using the difference of cubes method.

2(x−54)(x^2−54x+2916)

Question 2: Which of the following expressions are factors of p(x)=4x^6+32x^3?

There may be more than one correct answer. Select all correct answers.

1. 4x^3

2. x+2

3. x+8

4. x^3+4

5. x^2−2x+4

6. x^2+2x+4

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2021-09-10T16:27:33+00:00
2021-09-10T16:27:33+00:00 1 Answer
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## Answers ( )

Answer:Question 1: Option C, 2x^2(x – 3)(x^2 + 3x + 9)

Question 2: Options 1, 2, 5

Step-by-step explanation:Question #3Step 1: Factor

2x^5 − 54x^2

2x^2(x^3 – 27)

2x^2(x – 3)(x^2 + 3x + 9)Answer:

Option C, 2x^2(x – 3)(x^2 + 3x + 9)Question #2p(x) = 4x^6 + 32x^3

Step 1: Factor4x^6 + 32x^3

4x^3(x^3 + 8)

4x^3(x + 2)(x^2 – 2x + 4)Answer:

Options 1, 2, 5