A-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 are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that satisfy the equation, meaning they 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 standard form, factor it into two binomials, and then set each binomial 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 the equation: x² + 2x - 15 = 0

Back

x = 3 or x = -5.

Front

Solve the equation: x² + 12 + 7x = 0

Back

x = -3 or x = -4.

Front

Solve the equation: x² + 9x + 20 = 0

Back

x = -4 or x = -5.

Front

Solve the equation: x² + 13x + 12 = 0

Back

x = -1 or x = -12.

Front

Solve the equation: x² - 49 = 0

Back

x = 7 or x = -7.