Find all values of \(x\) for which \((2 x+1)(x-3)(x-1) \leqslant 0\). (2 marks)
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\((2 x+1)(x-3)(x-1) \leqslant 0\)
\(\text{Zeros at} \ \ x=-\dfrac{1}{2}, x=3 \ \ \text{and} \ \ x=1\)
\(\text{At} \ \ x=0: \ (1)(-3)(-1)>0\)
\(\therefore \text{Graph} \ \leqslant 0 \ \ \text{for} \ \ x \leqslant-\dfrac{1}{2}\ \cup \ 1 \leqslant x \leqslant 3\)