Factoring Linear Expressions

Front

What is factoring in algebra?

Back

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

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used to simplify expressions before factoring.

Front

Factor the expression: 4x + 30y

Back

2(2x + 15y)

Front

Factor the expression: -8x - 10

Back

-2(4x + 5)

Front

Can the expression 7x + 48y be factored?

Back

No, it can't be factored.

Front

Factor the expression: 3 + 6x

Back

3(1 + 2x)

Front

Factor the expression: 17xy - x

Back

x(17y - 1)

Front

What does it mean if an expression can't be factored?

Back

It means that there are no common factors or that the expression is already in its simplest form.

Front

How do you find the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4.

Front

What is the first step in factoring a polynomial?

Back

Identify the greatest common factor (GCF) of the terms.