3.45: Quartic from linear factors: sketch and inequality

0606/11/M/J/24 — Question 1 · 5 marks

(a)
On the axes, sketch the graph of y=(5x)(x+1)(2x1)(x5)y = (5 - x)(x + 1)(2x - 1)(x - 5), stating the intercepts with the axes.
[3]
(b)
Hence solve the inequality (5x)(x+1)(2x1)(x5)0(5 - x)(x + 1)(2x - 1)(x - 5) \geqslant 0.
[2]