Question

g(p)=(p-2 )and g(x)=(p^3+4p^2-2) evaluate g(p)*h(p) by modeling or by using the distributive property.

Answer 1

Given that g(p)=p-2 and

`h(p)=p^3+4p^2-2`

Now we have to evaluate g(p)*h(p) by modeling or by using the distributive property.

We know that g(p)*h(p) means just multiply expressions of g(p) with h(p)

which can be shown as following:

`g(p)*h(p)=(p^3+4p^2-2)(p-2)`

Apply distributive property

`g(p)*h(p)=p(p^3+4p^2-2)-2(p^3+4p^2-2)`

`g(p)*h(p)=p^4+4p^3-2p-2p^3-8p^2+4`

`g(p)*h(p)=p^4+2p^3-2p-8p^2+4`

`g(p)*h(p)=p^4+2p^3-8p^2-2p+4`

Hence final answer is
`g(p)*h(p)=p^4+2p^3-8p^2-2p+4`