Question

Find a polynomial function that has the given zeros at -3,0 and 4

Answer 1

Answer: $$x(x+4)(x+3)=x(x^2+7x+12)=x^3+7x^2+12x$$.

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).