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 involves rewriting it as a product of two binomials, such as (x - p)(x - q) = 0, where p and q are the roots of the equation.

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, rewrite the equation in the form ax² + bx + c = 0, factor it into (x - p)(x - q) = 0, and then set each factor equal to zero to find the solutions x = p and x = q.

Front

Solve by factoring: x² + 3x - 18 = 0

Back

x = 3 and x = -6.

Front

Solve by factoring: x² + 7x + 12 = 0

Back

x = -3 and x = -4.

Front

Solve by factoring: x² + 9x + 20 = 0

Back

x = -4 and x = -5.

Front

Solve using Zero-Product Property: (x + 4)(x - 3) = 0

Back

x = -4 and x = 3.

Front

Solve by factoring: x² + 13x + 12 = 0

Back

x = -12 and x = -1.

Front

What are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero.