13. Find a cubic function with the given zeros. 7, -3, 2

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14-12-2018
Mathematics

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13. Find a cubic function with the given zeros. 7, -3, 2

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jdoe0001 jdoe0001 · Answer 1 · 2018-12-14T21:41:16+01:00

jdoe0001 jdoe0001

14-12-2018

[tex]\bf \begin{cases} x=7\implies &x-7=0\\ x=-3\implies &x+3=0\\ x=2\implies &x-2=0 \end{cases}~\hspace{7em}(x-7)(x+3)(x-2)=\stackrel{y}{0} \\\\\\ (x^2-4x-21)(x-2)=y \\\\\\ x^3-4x^2-21x-2x^2+8x+42=y\implies x^3-6x^2-13x+42=y[/tex]

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