Solving Quadratic Equations 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 rewriting 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 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.

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: x² + 2x - 20 = 4

Back

x = -6, x = 4

Tags

CCSS.HSA-REI.B.4B

Front

Solve: a² + 2a - 24 = 0

Back

a = -6, 4

Tags

CCSS.HSA-REI.B.4B

Front

Solve: x² + 9x + 20 = 0

Back

x = -4, x = -5

Tags

CCSS.HSA-REI.B.4B

Front

Solve: 16a² - 9 = 0

Back

a = -3/4, 3/4

Tags

CCSS.HSA-REI.B.4B

Front

Solve: x² - 49 = 0

Back

x = -7, x = 7

Tags

CCSS.HSA-REI.B.4B