Appendix C - Synthetic Division and the Remainder Theorem - C Exercise Set - Page 993: 23

$ P(-3)=125 $

By synthetic division, using $ -3 $ in operating the coefficients of the given function, $P(x)= 2x^4-x^3-7x^2+x+2 ,$ results to the picture shown below. The last row of numbers, $\{ 2,-7,14,-41,125 \},$ represent the coefficients of the quotient and the remainder. Furthermore, the remainder of $\dfrac{f(x)}{x-c}$ is equal to $f(c)$. Hence, $ P(-3)=125 $.