Find the equation of the quadratic of least degree with zeros at -18 and -9

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21-01-2020
Mathematics

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Find the equation of the quadratic of least degree with zeros at -18 and -9

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jdoe0001 jdoe0001 · Answer 1 · 2020-01-21T22:48:51+01:00

jdoe0001 jdoe0001

21-01-2020

[tex]\bf \begin{cases} x = -18\implies &x+18=0\\ x = -9\implies &x+9=0 \end{cases}\qquad \implies \qquad (x+18)(x+9)=\stackrel{y}{0} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{using FOIL}}{x^2+27x+162}=y~\hfill[/tex]

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