Solve 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 rewriting 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

1. Set the equation to zero. 2. Factor the quadratic expression. 3. Apply the zero product property to find the solutions.

Front

Solve by factoring: 4x² + 11x - 3 = 0

Back

x = 1/4 and x = -3

Front

Solve by factoring: 3x² + 18x + 10 = -5

Back

x = -5 and x = -1

Front

Solve by factoring: 3x² + 5x - 12 = 0

Back

x = 4/3 and x = -3

Front

Solve by factoring: 2x² + 7x + 6 = 0

Back

x = -3/2 and x = -2

Front

Solve by factoring: 3x² + 9x - 30 = 0

Back

x = 2 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.