Solving Quadratics by Factoring

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation means expressing it as a product of two binomials, such as (px + q)(rx + s) = 0.

Front

What is the Zero Product Property?

Back

The Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

How do you solve a quadratic equation by factoring?

Back

To solve by factoring, first factor the quadratic into two binomials, set each factor equal to zero, and solve for the variable.

Front

What is the first step in factoring a quadratic equation?

Back

The first step is to look for a greatest common factor (GCF) among the terms.

Front

Solve by factoring: x² - 5x + 6 = 0

Back

x = 2, 3

Front

Solve by factoring: 2x² - 8 = 0

Back

x = -2, 2

Front

What is the factored form of x² - 9?

Back

(x - 3)(x + 3)