O-LevelAdditional MathematicsFactors of polynomials4037/12 · Oct/Nov 2023 · Q15 Marks
[Figure 1.0] The diagram shows the graph of the cubic polynomial y = f(x).
- (a)Find an expression for f(x) in factorised form. Write each linear factor with its coefficients as integers.[3]
- (b)Write down the values of x such that f(x) < 0.[2]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [3] (a) B1 for kx+(1/3)(x-1)(x-5/2) and no other work that would gain marks.
- [3] (a) B2 for m(3x+1)(x-1)(2x-5) and no other work that would gain marks.
- [2] (b) B1 Must be in terms of x
- [2] (b) B1 Must be in terms of x
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