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 means expressing it as a product of two binomials, such as (x - p)(x - q) = 0, where p and q are the roots of the equation.

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 ax² + bx + c = 0, factor it into (x - p)(x - q) = 0, and then set each factor equal to zero to find the roots.

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 and x = 5

Front

Solve by factoring: x² + 9x + 20 = 0

Back

x = -4 and x = -5

Front

Solve by factoring: x² + 2x - 24 = 0

Back

x = -6 and x = 4

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 for the values of x: (x - 3)(x + 6) = 0

Back

x = 3 and x = -6

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.