When p(x)=2x^4 + kx +1 is divided by x+1, the remainder is the same as when q(x)=3x^4 + kx2 +2 is divided by x–1. Find k.

Answer 1

Using synthetic division the remainder of p(x) is -k + 3

Using synthetic division the remainder of q(x) is k + 5

-k + 3 = k + 5

Can you solve for k and answer?