if p(x)=3x^2-2x+5 find 2[p(x+4)]

Answer 1

First plug in a x+4 every time you see an x. This will give you 3(x+4)^2-2(x+4)+5.

FOIL the binomial to get 3(x^2+8x+16)-2(x+4)+5.

Distribute to get 3x^2+24x+48-2x-8+5

Combine like terms to get 3x^2+22x+45

Then multiply everything by 2 to get a final answer of 6x^2+44x+90