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

1 Answer
Bill K.
Jul 28, 2015

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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