AB-Solving 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 involves rewriting it as a product of two binomials, allowing us to find its roots 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 find the roots of a quadratic equation by factoring?

Back

To find the roots by factoring, rewrite the equation in factored form (e.g., (x - p)(x - q) = 0) and set each factor equal to zero.

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 by factoring: x² - 5x + 6 = 0

Back

x = 2 and x = 3.

Front

Solve by factoring: x² + 7x + 10 = 0

Back

x = -2 and x = -5.

Front

Solve by factoring: 2x² - 8x = 0

Back

x = 0 and x = 4.

Front

What is the first step in factoring a quadratic equation?

Back

The first step is to set the equation equal to zero.