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.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

Front

How do you find the roots of a quadratic equation by factoring?

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x² - 6x + 5 = 0

Back

x = 5, x = 1

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x² + 3x - 18 = 0

Back

x = 3, x = -6

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x² + 15x + 44 = 0

Back

x = -11, x = -4

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x² + 7x + 12 = 0

Back

x = -3, x = -4

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: k² - 2k - 24 = 0

Back

k = -4, k = 6

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B