ME-F1
Further Work with Functions
Work with inequalities; apply absolute value to equations and inequalities; sketch curves from simple relations.
Sample questions
- 1.Solve |2x − 3| > 5.
- 2.Solve x + 1 < 3/(x + 2) for all real x.
Exam weighting
3–4 marks.
Common student mistakes
- ·Multiplying both sides of an inequality by a negative without flipping the sign
- ·Incorrect absolute value inequality solution set
ME-F2
Polynomials
Apply the factor and remainder theorems; find roots; understand relationships between roots and coefficients.
Sample questions
- 1.Given that (x − 2) is a factor of x³ + px² − 14, find p.
- 2.A cubic has roots α, β, γ. If α+β+γ = 6, αβ+αγ+βγ = 11, αβγ = 6, find the cubic.
Exam weighting
3–5 marks.
Common student mistakes
- ·Incorrect sign when applying the remainder theorem
- ·Confusing sum of roots (α+β = −b/a) with product of roots (αβ = c/a)
Other Extension 1 topics
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