2018 · Q43
A quadratic polynomial ax² + bx + c is such that when it is divided by x, (x - 1) and (x + 1), the remainders are 3, 6 and 4 respectively. What is the value of (a + b)?
Elementary MathematicsAlgebra
- A3
- B2
- C1
- D-1
Explanation
f(0) = c = 3 and f(1) = a + b + c = 6, so a + b = 3 directly, option (A). (Consistency: f(−1) = 4 gives a − b = 1, whence a = 2, b = 1.)