Algebrahard · Past Paper

If x+1 is a factor of x^3 + kx^2 + 3x + 1, find k.

A3
B4
C5
D2

✓ Correct Answer: A3

By factor theorem, P(-1) = 0. (-1)^3 + k(-1)^2 + 3(-1) + 1 = 0 => -1 + k - 3 + 1 = 0 => k = 3.

Share this question

More from Algebra