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.

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.

Front

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

Back

x = 3 and x = -6

Front

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

Back

Set each binomial factor equal to zero.

Front

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

Back

x = 3 and x = -6

Front

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

Back

x = 4 and x = 5

Front

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

Back

x = -3/2 and x = -2

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).