Finding the Greatest Common Factor of Polynomials

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

How do you find the GCF of two or more numbers?

Back

1. List the factors of each number. 2. Identify the common factors. 3. Choose the largest of these common factors.

Front

What is the GCF of 18 and 24?

Back

The GCF is 6.

Front

What is the GCF of 20a^2b^2 and 50b^3?

Back

The GCF is 10b^2.

Front

Factor the polynomial: 18a^2 - 15a

Back

3a(6a - 5)

Front

Factor the polynomial: x^2 - 5x

Back

x(x - 5)

Front

Factor the polynomial: 12x + 9

Back

3(4x + 3)

Front

Factor the polynomial: w^3 + 3w

Back

w(w^2 + 3)

Front

What is the first step in factoring a polynomial?

Back

Identify the GCF of all the terms in the polynomial.

Front

What does it mean for a polynomial to be factorable?

Back

A polynomial is factorable if it can be expressed as a product of two or more polynomials.