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5-38.

Calculate the x-intercepts for the graph of each function below. Homework Help ✎

  1. y = (x − 2)(x + 1)

  2. y = 2x2 + 16x + 30

The x-intercepts occur when y = 0.

0 = (x − 2)(x + 1)

Use the Zero Product Property to solve:

x − 2 = 0 or x + 1 = 0

Set y equal to 0.

Factor.

One of the factors is (x + 5). What is the other factor?

Use the Zero Product Property to solve.