Graphical Behavior

Equations from Zeros

Example 2

Write a function in factored form that has roots r = ?1, r = 1, and r = 2, and has another point at (0, 10).

Step 1. Turn the roots into factors.

Writing_Zero _ex2

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

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

Writing_Zero_ex2-1

Step 3. Use the other point given to determine the a-value.

Writing_Zero_ex2-2

Step 4. Write the function rule.

Writing_Zero_ex2-4