Greatest Common Factor in Polynomials

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 two numbers?

Back

List the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 12 and 16?

Back

The GCF is 4.

Front

Factor the expression: 56a^3 - 8a

Back

8a(7a^2 - 1)

Front

What is the GCF of the polynomial 2x^2 - 4x + 8?

Back

The GCF is 2.

Front

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

Back

2(n^3 + 8n + 6)

Front

Factor the expression: 12x + 9

Back

3(4x + 3)

Front

What is the GCF of 6w^3 - 14w?

Back

The GCF is 2w.

Front

What is the GCF of the coefficients in the polynomial 3x^2 + 6x + 9?

Back

The GCF is 3.

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.