factoring out

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you factor out the greatest common factor (GCF) from an expression?

Back

To factor out the GCF, identify the largest factor that divides all terms in the expression, then divide each term by this factor and write it outside of parentheses.

Front

What is the GCF of 12 and 9?

Back

The GCF of 12 and 9 is 3.

Front

Factor the expression 4x + 30 using the distributive property in reverse.

Back

2(2x + 15) is the factored form.

Front

Factor the expression 9u - 81 using the distributive property in reverse.

Back

9(u - 9) is the factored form.

Front

What is the factored form of 12x + 9?

Back

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

Front

How do you factor the expression 3x^3 + 9x?

Back

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

Front

What is the factored form of 8x - 10?

Back

2(4x - 5) is the factored form.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

Front

What is the first step in factoring an expression?

Back

Identify the GCF of all the terms in the expression.