Factoring Polynomials Using Greatest Common Factor

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 18 and 24?

Back

The GCF is 6.

Front

What is the GCF of the polynomials 12x^2 and 18x^3?

Back

The GCF is 6x^2.

Front

How do you factor a polynomial using the GCF?

Back

1. Find the GCF of the terms. 2. Divide each term by the GCF. 3. Write the polynomial as the GCF multiplied by the resulting polynomial.

Front

Factor the polynomial: 3x^2 + 6x.

Back

3x(x + 2).

Front

What are the steps to factor 2n^3 + 16n + 12?

Back

1. Find the GCF, which is 2. 2. Factor out the GCF: 2(n^3 + 8n + 6).

Front

List the factors of 30.

Back

1, 2, 3, 5, 6, 10, 15, 30.

Front

What is the GCF of 24x^9, -36x^6, and 60x^3?

Back

The GCF is 6x^3.

Front

What is the GCF of 15 and 25?

Back

The GCF is 5.