Question

Use the remainder theorem to find P(-2) for P(x) = x³ + 2x² +6. Specifically, give the quotient and the remainder for the associated division and the value of P(-2).

Answer 1

`\begin{gathered} p(x)=x^3+2x^2+6 \\ x=-2 \\ -2^3+2(-2)^2+6 \\ -8+8+6 \\ 6\text{ is the remainder} \\ \end{gathered}`
`((x^3+2x^2+6))/(x+2)=x^2+(6)/(x+2)\text{ this is the quotient}`
`\text{ the value of p\lparen-2\rparen is 6}`