Factoring Linear Expressions

Front

What is factoring in mathematics?

Back

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

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers share.

Front

If you factor out -6 from the expression -6k - 24, what remains inside the parentheses?

Back

The remaining expression is (k + 4).

Front

What is the result of factoring the expression 9x + 12?

Back

The factored form is 3(3x + 4).

Front

What is the opposite of factoring an expression?

Back

The opposite of factoring is distributing.

Front

Define 'factors' in mathematics.

Back

Factors are two or more numbers that are multiplied together to equal a certain number.

Front

What is the first step in factoring an expression?

Back

The first step is to identify the greatest common factor (GCF) of the terms in the expression.

Front

How do you factor the expression 15x + 10?

Back

Factor out the GCF, which is 5, resulting in 5(3x + 2).

Front

What is the factored form of the expression x^2 - 9?

Back

The factored form is (x - 3)(x + 3).

Front

What does it mean to distribute in mathematics?

Back

Distributing means to multiply a single term by each term inside a set of parentheses.