Question

Factor the expression.

3x3 + 3x2 + x + 1

(x + 3)(3x2 – 1)

(x + 1)(3x2 + 1)

3x2(x + 1)

x(3x2 + x + 1)

Answer 1

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

Explanation:

Answer 2

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

Explanation:

Factor the following:

3 x^3 + 3 x^2 + x + 1

Factor terms by grouping. 3 x^3 + 3 x^2 + x + 1 = (3 x^3 + 3 x^2) + (x + 1) = 3 x^2 (x + 1) + (x + 1):

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

Factor x + 1 from 3 x^2 (x + 1) + (x + 1):

Answer: (x + 1) (3 x^2 + 1)