O-LevelAdditional MathematicsFactors of polynomials4037/11 · Oct/Nov 2011 · Q26 Marks
The function f is such that f(x) = 4x³ – 8x² + ax + b, where a and b are constants. It is given that 2x - 1 is a factor of f(x) and that when f(x) is divided by x + 2 the remainder is 20. Find the remainder when f(x) is divided by x – 1.
- Find the remainder when f(x) is divided by x – 1.[6]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2011). The mark or mark type is shown in brackets.
- [1] f(-2): -2a + b = 84
- [1] f(1/2): 1/2a + b = -3/2
- [2] a = -33, b = 18
- [1] f(1) = -19
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