2019 · Q39
Given that the polynomial (x² + ax + b) leaves the same remainder when divided by (x - 1) or (x + 1). What are the values of a and b respectively?
Elementary MathematicsAlgebra
- A4 and 0
- B0 and 3
- C3 and 0
- D0 and any integer
Explanation
P(1) = 1+a+b and P(−1) = 1−a+b. Equality forces a = −a, i.e. a = 0, while b cancels out and can be any integer.