Question

Find the value of K if the polynomial p(x)=kx^3+9x^2+4x-10 is divided by x-3 leaves a remainder -22.

Answer 1

x = 3

kx³ + 9x² + 4x - 10 = -22

27k + 81 + 12 - 10 = -22

27 k + 83 = -22

27k = -22 - 83 = -105/27