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

is the completely factored form of her polynomial

Therefore Louise polynomial becomes

Step-by-step explanation:

Given that Louise begins factoring the polynomial which has four terms

Given polynomial is

Now Factoring the above given polynomial as below

 ( taking common terms )

  ( taking common factors )

Therefore

Therefore the factored polynomial is

is the completely factored form of her polynomial

Therefore Louise polynomial becomes