MINI LESSON

Finding Zeros of Polynomial Functions

The zeros of a polynomial are the \(x\)-values that make the function equal to zero.

If a polynomial is written in factored form, set each factor equal to zero.

A zero corresponds to an \(x\)-intercept on the graph.

Carefully solve each factor to find all zeros.

Question 1

The zeros of the function \(f(x)=x(x-5)(3x+6)\) are

Question 2

What are the zeros of \(f(x)=x^2 - 8x - 20\)?

Question 3

Which function has the zeros \(-1\), 3, and \(-4\)?