C1 En Page view Read aloud Dray,
Question 3 a) Given that
y = x2 — 6x + 8 i) Solve the equation of y using any method of your choosing (factorisation, completing the square or quadratic formula) [4 mark] ii) Hence, sketch the graph of y, showing where the curve cuts the x- and y-axes, and the equation of line of symmetry
b) Given f(x) = x3 — 2×3 — 5x + 6 i) Find one factor of f(x) using the factor theorem
ii) Hence, factorise f(x)
iii) Use the factorisation in part ii) to solve the equation f(x) = 0
Question 4 a) Find the set of values for which 3x + 8 5_ 20 and 2(3x — 7) v + 6
[4 mark] [2 mark] [8 mark] [2 mark] (Total 20 marks)