Graphical Behavior

Equations from Zeros

To write a polynomial function from its zeros, turn the zeros into factors and determine the a-value.

Example 1: Write a polynomial with roots x = 1, x = 2, and x = -3, assume the a-value is 1.

Step 1. Turn the roots into factors.

Writing_Zero_1

Therefore, (x - 1), (x - 2), (x + 3) are the factors.

Step 2. Write a function, include the a-value.

Writing_Zero_2