Dynamic Activity

Quadratics in Factored Form

Lesson Vocabulary

• zero of a function
• Zero-Product Property

Take Note Property: Zero-Product Property

If ab = 0, then a = 0 or b = 0.

Problem 1 Solving a Quadratic Equation by Factoring

What are the solutions of the quadratic equation x 2 − 5 x + 6 = 0 ? x squared , minus 5 x plus 6 equals 0 question mark

( x − 2 ) ( x − 3 ) = 0 Factor the quadratic expression. x − 2 = 0  or  x − 3 = 0 Use the Zero-Product Property. x = 2  or  x = 3 Solve for  x . table with 3 rows and 2 columns , row1 column 1 , open x minus 2 close open x minus 3 close equals 0 , column 2 cap factor the quadratic expression. , row2 column 1 , x minus 2 equals 0 , or , x minus 3 equals 0 , column 2 cap use the cap zerominuscap product cap property. , row3 column 1 , x equals 2 , or , x equals 3 , column 2 cap solve for . x . , end table

The solutions are x = 2 and x = 3.

✓ Got It?

1. What are the solutions of the quadratic equation x 2 − 7 x = − 12 ? x squared , minus 7 x equals negative 12 question mark