Question 960772
Perform synthetic division using that given "root" of  -2.  The remainder will be P(-2).  That is the meaning of the Remainder Theorem.


You should find that the remainder is 8;

therefore  P(-2)=8.



-2_____|_____1_____4_____-4______-8
_______|
_______|__________-2____-4_______16
____________________________________
_______|_____1______2_____-8______8



The quotient part without the remainder is  {{{x^2+2x-8}}}.