# Third-degree, with zeros of −3−3, −2−2, and 11, and passes through the point (3,6)(3,6).

Third-degree, with zeros of −3−3, −2−2, and 11, and passes through the point (3,6)(3,6).
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Nelson Santana
if C is the zero of a polynomial function f(x), then x-c is a factor of f(x)
f(n) has -3,-2,11 of a zeros.
So
$f\left(x\right)=a\left(x+3\right)\left(x+2\right)\left(x-11\right)\phantom{\rule{0ex}{0ex}}f\left(3\right)=6\phantom{\rule{0ex}{0ex}}6=a\left(6\right)\left(5\right)\left(-Q\right)\phantom{\rule{0ex}{0ex}}a=\frac{-1}{90}\phantom{\rule{0ex}{0ex}}f\left(x\right)=-\frac{1}{90}\left(x+3\right)\left(x+2\right)\left(x-11\right)$