Which expression correctly shows x^6+2x^3+1 factored completely over the integers?

a. (x^2+1) (x4-x^2+1)

b. (x^3+1) 2

c. (x+1) (x^2-x+1)

d. (x+1) 2 (x^2-x+1) 2

Question

Mathematics

Adalyn

12 October, 07:49

Which expression correctly shows x^6+2x^3+1 factored completely over the integers?

a. (x^2+1) (x4-x^2+1)

b. (x^3+1) 2

c. (x+1) (x^2-x+1)

d. (x+1) 2 (x^2-x+1) 2

+2

Answers (2)

Know the Answer?

Darien Lucas · Answer 1

Darien Lucas 12 October, 10:08

0

Option D is the answer!

Johnathon Porter · Answer 2

Option D, (x + 1) ^2 (x^2 - x + 1) ^2

Step-by-step explanation:

Step 1: Factor

x^6 + 2x^3 + 1

(x + 1) ^2 (x^2 - x + 1) ^2

Answer: Option D, (x + 1) ^2 (x^2 - x + 1) ^2

Which expression correctly shows x^6+2x^3+1 factored completely over the integers?a. (x^2+1) (x4-x^2+1)b. (x^3+1) 2c. (x+1) (x^2-x+1)d. (x+1) 2 (x^2-x+1) 2

Which expression correctly shows x^6+2x^3+1 factored completely over the integers?

a. (x^2+1) (x4-x^2+1)

b. (x^3+1) 2

c. (x+1) (x^2-x+1)

d. (x+1) 2 (x^2-x+1) 2