Use the complete factorization of 2x^3+8x^2+8x to determine the value of the product (20)(12)^2 . Explain your reasoning.

Question

Use the complete factorization of 2x^3+8x^2+8x to determine the value of the product (20)(12)^2 . Explain your reasoning.

Answer 1

So first you can pull a 2x out and left with 

 

2x(x^2+4x+4)

then factor right side and you have (X+2)^2

 

so complete factorization is 

2x(X+2)^2

 

if X = 10 we have 

20(12)^2

 

back to original polynomial plug in 10

2(10)^3+8(10)^2+8(10)= 2000+800+80 = 2880