# How do you find a polynomial of degree 3 that has zeros of -3, 0, 1?

##### 1 Answer

Nov 15, 2016

#### Answer:

#### Explanation:

A polynomial has

We want a polynomial

#=(x+3)x(x-1)#

#=x(x+3)(x-1)#

#=x(x^2+2x-3)#

#=x^3+2x^2-3x#

Note that we could also multiply by any nonzero constant without changing the zeros, if a different polynomial is desired.