Factoring by GCF

Front

What does GCF stand for in factoring?

Back

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

Front

How do you find the GCF of a set of terms?

Back

To find the GCF, identify the common factors of the coefficients and the lowest powers of the variables present in each term.

Front

What is the first step in factoring by GCF?

Back

The first step is to identify the GCF of all the terms in the expression.

Front

Factor the expression: 2n^3 + 16n + 12.

Back

2(n^3 + 8n + 6).

Front

What is the result of factoring 21x^7y^6 + 30x^5y^8 - 18x^5y^6 completely?

Back

3x^5y^6(7x^2 + 10y^2 - 6).

Front

Factor the expression: 2n^2 - 8n^3.

Back

2n^2(1 - 4n).

Front

What is the GCF of the terms 45xy, 15x^3y, and 10y?

Back

The GCF is 5y.

Front

How do you factor the expression 45xy + 15x^3y + 10y completely?

Back

5y(9x + 3x^3 + 2).

Front

What is the GCF of the expression 36a^5bc - 12c?

Back

The GCF is 12c.

Front

What is the factored form of 36a^5bc - 12c?

Back

12c(3a^5b - 1).