Find the value of k if remainder when 5x^3 + 4x – 11x + k is divided by (x – 1) is 0.

Question

a. Find the value of k if remainder when 5x³ + 4x – 11x + k is divided by (x – 1) is 0. 

b. When x³ – 2x² + kx + 7 is divided by (x – 4) remainder is 11. Find k.

Answer 1

a. P(1) = 5x³+4x²-11x +k = 0