Question

Louise begins factoring the polynomial, which has four terms. 8x3+24x2+10x+30 2(4x3+12x2+5x+15) 2[4x2(x+3)+5(x+3)] Which is the completely factored form of her polynomial? 8x2(x + 3)2 2x(4x2 + 5) 2(4x2 + 5) (x + 3) 2(4x2 + 5) (x + 3)2

Answer 1

C on edge

Explanation:

I took the test

Answer 2

`8x3+24x2+10x+30= 2[(4x^2+5)(x+3)]`

Explanation:

Given

`8x3+24x2+10x+30= 2(4x^3+12x^2+5x+15)`

`8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)]`

Required

The complete factored form

We have:

`8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)]`

Factor out x + 3

`8x3+24x2+10x+30= 2[(4x^2+5)(x+3)]`

The above represents the completely factored form