Question

What is the completely factored form of 8X^3 + 24x^2 + 10x + 30

Answer 1

2(x+3) (4x^2+5)

Explanation:

8X^3 + 24x^2 + 10x + 30

Factor by grouping

Take 8x^2 from the first group and 10 from the last group

8X^3 + 24x^2 + 10x + 30

8x^2(x+3) +10(x+3)

Factor out x+3

(x+3)(8x^2+10)

Factor out 2

2(x+3) (4x^2+5)