3.18: Cubic sketch and inequality

0606/11/M/J/21 — Question 1 · 5 marks

(a)
On the axes, sketch the graph of y=(x+1)(2x3)(x2)y = (x + 1)(2x - 3)(x - 2), stating the intercepts with the coordinate axes. (If the printed cubic includes a constant factor, include the given yy-intercept.)
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(b)
Hence find the values of xx for which (x+1)(2x3)(x2)0(x + 1)(2x - 3)(x - 2) \geqslant 0.
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