How do you find the polynomial function that has the given zeros: 0, -4, and -3?

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How do you find the polynomial function that has the given zeros: 0, -4, and -3?

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Answer 1 · 2015-07-28T17:31:33

The simplest answer is $x(x+4)(x+3)=x(x^2+7x+12)=x^3+7x^2+12x$ . Any nonzero scalar multiple of this also works.

Explanation:

In general, if you want $x=c$ to be a root of a polynomial, then the polynomial must contain at least one factor of the form $x-c$ (if $c<0$ the $x-c$ can be written as an addition of a positive number).

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How do you find the polynomial function that has the given zeros: 0, -4, and -3?

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