Help me to answer a) and solve the problem in detail, thank you.

We have the next polynomial
[tex]2x^3+7x^2-8x+3[/tex]In order to find the remainder when we divide the polynomial above by x+1. Using the remainder theorem we will evaluate x=-1
[tex]P(-1)=2(-1)^3+7(-1)^2-8(-1)+3=16[/tex]The remainder is 16
ANSWER
The remainder of the given polynomial is 16.