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 involves rewriting it as a product of two binomials, allowing us to find its roots or solutions.

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 determine if a quadratic can be factored?

Back

A quadratic can be factored if there are two numbers that multiply to give the constant term (c) and add to give the linear coefficient (b).

Front

Solve by factoring: x² + 3x - 18 = 0

Back

x = 3 and x = -6

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x² + 15x + 44 = 0

Back

x = -11 and x = -4

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: 4x² + 11x - 3 = 0

Back

x = 1/4 and x = -3

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 by factoring: x² + 13x + 12 = 0

Back

x = -1 and x = -12

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.