Solve by Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

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.

Front

How do you solve a quadratic equation by factoring?

Back

To solve a quadratic equation by factoring, rewrite the equation in the form ax^2 + bx + c = 0, factor it into (px + q)(rx + s) = 0, and then set each factor equal to zero.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as (x + 2) or (3x - 5).

Front

Solve by factoring: x^2 - 9 = 0

Back

x = 3 and x = -3.

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: 2x^2 - 8 = 0

Back

x = 2 and x = -2.

Front

What does it mean to set a factor equal to zero?

Back

Setting a factor equal to zero means to find the value of the variable that makes the factor equal to zero, which helps in finding the roots of the equation.

Front

Solve by factoring: x^2 + 5x + 6 = 0

Back

x = -2 and x = -3.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, such as x^2 + 5x + 6.