Question

Find values of k so that each remainder is 3
the key is -3

Answer 1

\[(x^3+4x^2+x+k)\div(x+2)\]

Answer 2

By remainder thm,
Put x=-2
\[(-2)^{3}+4(-2)^{2}+(-2)+k = 3\]
k = 3-6 = -3