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

Solve: x² - 49 = 0

Back

x = -7, x = 7

Front

Solve: 5x² - 28x + 32 = 0

Back

x = 8/5, x = 4

Front

Solve: x² + 9x + 20 = 0

Back

x = -4, x = -5

Front

Solve: 2x² - 3x - 2 = 0

Back

x = -1/2, x = 2

Front

Solve: x² + 2x - 24 = 0

Back

x = -6, x = 4

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is written as ax² + bx + c = 0.