Appendix C - Synthetic Division and the Remainder Theorem - C Exercise Set - Page 993: 26

$p(2)=90$

Using $ 2 $ in operating the coefficients of the given function, $p(x)= x^4+7x^3+11x^2-7x-12 ,$ results in the picture shown below. The last row of numbers, $\{ 1,9,29,51,90 \},$ represents the coefficients of the quotient and the remainder. Furthermore, the remainder of $\dfrac{f(x)}{x-c}$ is equal to $f(c)$. Hence, $ p(2)=90 $.