9.4 Solve by Factoring

Front

What does it mean to solve by factoring?

Back

Solving by factoring involves rewriting a polynomial equation as a product of its factors and then finding the values of the variable that make the equation true.

Tags

CCSS.HSA-REI.B.4B

Front

What is the zero product property?

Back

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 for x: (x - 3)(x + 6) = 0

Back

x = 3 and x = -6

Tags

CCSS.HSA-REI.B.4B

Front

What is the first step in solving (x + 2)(x - 3) = 0?

Back

Set each binomial factor equal to zero.

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x^2 + 3x - 18 = 0

Back

x = 3 and x = -6

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x^2 - 9x + 20 = 0

Back

x = 4 and x = 5

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: 2x^2 + 7x + 6 = 0

Back

x = -3/2 and x = -2

Tags

CCSS.HSA-REI.B.4B

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as (x - 3) or (x + 6).

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

How do you factor the expression x^2 - 5x + 6?

Back

x^2 - 5x + 6 can be factored as (x - 2)(x - 3).