Polynomial Division

Question

When x⁴-3kx²+5k is divided by (x+1), the remainder is 5. Find the value of k.

Answer 1

By the Remainder Theorem, the remainder when a polynomial function f(x) is divided by x-c is f(c).

So, (-1)⁴ - 3k(-1)² + 5k = 5

2k = 4

k = 2