Solving Quadratic Equations 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 rewriting it as a product of two binomials, allowing us to find its roots or solutions more easily.

Front

What is the standard form of a quadratic equation?

Back

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

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.

Front

How do you solve a quadratic equation by factoring?

Back

To solve by factoring, rewrite the equation in the form (x - p)(x - q) = 0, then set each factor equal to zero and solve for x.

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

Solve: 4a² - 9 = 0

Back

a = -3/2 or a = 3/2.

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 or x = 5.

Front

Solve by factoring: 3a² - 13a + 12 = 0

Back

a = 4/3 or a = 3.

Front

Solve: n² - 2n = 0

Back

n = 2 and n = 0.