Factoring Polynomials: GCF

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

How do you find the GCF of numerical coefficients?

Back

List the factors of each coefficient and identify the largest factor common to all.

Front

What is the GCF of 32 and 8?

Back

The GCF is 8.

Front

How do you factor out the GCF from a polynomial?

Back

Identify the GCF of the terms, then divide each term by the GCF and write it outside the parentheses.

Front

Factor the polynomial: 32y^3 + 8y^2

Back

8y^2(4y + 1)

Front

What is the GCF of the terms in the expression: 5ab^2c^11 + 2bc^5?

Back

The GCF is bc^5.

Front

Factor the polynomial: 5ab^2c^11 + 2bc^5

Back

bc^5(5abc^6 + 2)

Front

What is the GCF of the terms in the expression: 4b^5 + 4b^3 + 16b^2?

Back

The GCF is 4b^2.

Front

Factor the polynomial: 4b^5 + 4b^3 + 16b^2

Back

4b^2(b^3 + b + 4)

Front

What is the process of factoring by grouping?

Back

Group terms with common factors, factor out the GCF from each group, and then factor out the common binomial.