How do you write a polynomial in standard form given zeros 5, -2 and 0?

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How do you write a polynomial in standard form given zeros 5, -2 and 0?

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Answer 1 · 2016-03-11T16:25:37

$p (x) = x^{3} - 3 x^{2} - 10 x$ $p(x)=x^3-3x^2-10x$

Explanation:

$p (x) = (x - 0) (x - 5) (x + 2)$ $p(x)=(x-0)(x-5)(x+2)$ ->roots in factor form
$p (x) = x (x^{2} - 3 x - 10)$ $p(x)=x(x^2-3x-10)$ FOIL $(x + 5) (x + 2)$ $(x+5)(x+2)$
$p (x) = x^{3} - 3 x^{2} - 10 x$ $p(x)=x^3-3x^2-10x$ -> distribute x

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How do you write a polynomial in standard form given zeros 5, -2 and 0?

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