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.
Therefore, (x - 1), (x - 2), (x + 3) are the factors.
Step 2. Write a function, include the a-value.