2018 · Q11
If (x + 3) is a factor of x³ + 3x² + 4x + k, then what is the value of k?
Elementary MathematicsAlgebra
- A12
- B24
- C36
- D72
Explanation
By the factor theorem, (x + 3) being a factor means f(−3) = 0. Substituting: −27 + 27 − 12 + k = 0, so k = 12, option (A).