2016 · Q35
For what value of k is (x+1) a factor of x³+k x²-x+2 ?
Elementary MathematicsAlgebra
- A4
- B3
- C1
- D-2
Explanation
For (x+1) to be a factor, x = −1 must be a root of the cubic. Substituting gives (−1)³+k(−1)²−(−1)+2 = k+2 = 0. Hence k = −2, option D.