Solving Quadratic Equations 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 solutions.

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

Front

Solve the equation: 2x² + 4x - 30 = 0

Back

x = -5 or x = 3

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x² - 2x - 8 = 0

Back

x = -2, 4

Tags

CCSS.HSA-REI.B.4B

Front

What are the solutions to this equation? (x - 8)(x - 2) = 0

Back

x = 2, 8

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x² + 2x - 8 = 0

Back

x = -4, 2

Tags

CCSS.HSA-REI.B.4B

Front

Solve: x² - 3x - 10 = 30

Back

x = -5 or x = 8

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 is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph of a quadratic function.