Solve quadratics by factoring

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in 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 find the roots of a quadratic equation by factoring?

Back

To find the roots, factor the quadratic into two binomials, set each factor equal to zero, and solve for the variable.

Front

Solve by factoring: 5x² + 13x + 6 = 0

Back

x = -2 and x = -3/5

Front

Solve by factoring: x² + 3x - 18 = 0

Back

x = 3 and x = -6

Front

Solve by factoring: x² + 4x - 32 = 0

Back

x = -8 and x = 4

Front

Solve by factoring: 6x² - x - 2 = 0

Back

x = 2/3 and x = -1/2

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 and x = 5

Front

What is the standard form of a quadratic equation?

Back

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