Solving 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 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 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

To solve a quadratic equation by factoring, first factor the equation into two binomials, then set each binomial equal to zero and solve for x.

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 and x = 5

Front

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

Back

x = 3 and x = -6

Front

What is the first step in solving (x + 2)(x - 3) = 0?

Back

Set each binomial factor equal to zero.

Front

Solve: x² + 7x + 12 = 0

Back

x = -3 and x = -4

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

What is the standard form of a quadratic equation?

Back

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