O-LevelMathematicsAlgebra and graphs4024/13 · May/June 2025 · Q237 Marks
Expand and simplify. (x-3)(2x+5)(x+2)
- (a)Expand and simplify. (x-3)(2x+5)(x+2)[3]
- (b)Sketch the graph of y = (x-3)(2x+5)(x+2). On the sketch, label the values where the graph crosses the axes. [Figure 23.1][4]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.
- [3] (a) 2x³ + 3x² - 17x - 30 final answer
- B2 for correct unsimplified expression or answer simplified to a 4-term expression of the correct form with three terms correct
- or B1 for one pair of brackets expanded with at least 3 terms out of 4 correct
- [4] (b) Correct sketch with values -2.5, -2 and 3 labelled at x-intercepts and -30 labelled at y-intercept
- B1 for positive cubic curve
- B2 for curve with three intercepts only with x -axis labelled at -2.5, –2 and 3
- or B1 for curve with two correctly labelled x - intercepts.
- B1 for a single intercept on y-axis labelled at -30 but not if line y = -30
- Max 3 marks if sketch incorrect
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