Question

Factor completely: 2x3 + 6x2 + 2x + 6.

A. 2[(x + 3)(x2 + 1)]
B. (2x + 6)(x2 + 1)
C. (x + 3)(2x2 + 2)
D. 2(x3 + 3x2 + x + 3)

Answer 1

Option A

Explanation:

I took the test and A is correct

Answer 2

The correct option is A.

Explanation:

The given expression is

`2x^3+6x^2+2x+6`

Taking out the common factor.

`2(x^3+3x^2+x+3)`

`2(x^2(x+3)+1(x+3))`

`2(x+3)(x^2+1)`

The complete factor form of given expression is
`2(x+3)(x^2+1)`. Therefore the correct option is A.