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Find a degree 3 polynomial having zeros -6, 1 and 6 and the coefficient of ³ equal 1.
The polynomial is
23
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Answer 1

`\begin{cases} x=-6\implies &x+6=0\\\\ x=1\implies &x-1=0\\\\ x=6\implies &x-6=0 \end{cases} \\\\\\ (x+6)(x-1)(x-6)=\stackrel{y}{0}\implies {\LARGE \begin{array}{llll} x^3-x^2-36x+36=y \end{array}}`