Question

Express the following polynomial in expanded form and simplify completely

Answer 1

Given polynomial,

`p(x)=(x+4)^4`

Simplyfing,

`p(x)=((x+4)^(^2))^2=(x^2+8x+16)^2`

Furthur simplyfing,

`p(x)=x^4+64x^2+256+16x^3+256x+32x^2=x^4+16x^3+96x^2+256x+256`

Thus the simplified polynomial is

`p(x)=x^4+16x^3_{}+96x^2+256x+256`