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

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

Question 2:  Options 1, 2, 5

Step-by-step explanation:

Question #3

Step 1:  Factor

2x^5 − 54x^2

2x^2(x^3 - 27)

2x^2(x - 3)(x^2 + 3x + 9)

 Option C, 2x^2(x - 3)(x^2 + 3x + 9)

Question #2

p(x) = 4x^6 + 32x^3

Step 1:  Factor

4x^6 + 32x^3

4x^3(x^3 + 8)

4x^3(x + 2)(x^2 - 2x + 4)

 Options 1, 2, 5

the correct answer is b) histograms can be used to exhibit the shape of distributions. this is because histograms count the frequency of each possible answer, so one is able to see which results are more common and which are less common.

2.83941151 would be the answer you're looking for! : )