O-LevelAdditional MathematicsFactors of polynomials4037/22 · Oct/Nov 2022 · Q55 Marks
DO NOT USE A CALCULATOR IN THIS QUESTION. Find the x-coordinates of the points of intersection of the curves y = x³-2x²-4x-16 and y = 7x³-7x²-17x-4.
- DO NOT USE A CALCULATOR IN THIS QUESTION. Find the x-coordinates of the points of intersection of the curves y = x³-2x²-4x-16 and y = 7x³-7x²-17x-4.[5]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.
- [B1] 6x³ - 5x² - 13x + 12 [= 0]
- [M1] Uses the correct factor x - 1 to find a quadratic factor with at least 2 terms correct
- [A1] 6x² + x - 12
- [M1] Factorises or solves their 3-term quadratic: (2x + 3)(3x - 4) [= 0] or [x =] (-1 ± √(1² - 4(6)(-12))) / (2(6)) oe dep on previous M1
- [A1] x = 1, -1.5, 4/3 nfww dep on all previous marks awarded
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