Question

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

Answer 1

we are given

`g(p)=(p-2)`

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

now, we can multiply them

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

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

now, we can simplify it

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

so, we get

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