Factoring a GCF

Front

What is the GCF (Greatest Common Factor)?

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 monomials?

Back

1. List the factors of each monomial. 2. Identify the common factors. 3. Choose the largest common factor.

Front

Find the GCF of 12t^3 and 30t^2.

Back

6t

Front

Find the GCF of 15k^3 and 18k.

Back

3k

Front

What is the GCF of 24x^2 and 30x?

Back

6x

Front

Factor the polynomial: x^5 + x^4 + x^2.

Back

x^2 (x^3 + x^2 + 1)

Front

Factor the polynomial: 3x^2y^2 + 14x^2y + 15x.

Back

x (3xy^2 + 14xy + 15)

Front

What is the first step in factoring a polynomial by GCF?

Back

Identify the GCF of all the terms in the polynomial.

Front

Why is finding the GCF important in factoring?

Back

Finding the GCF simplifies the polynomial, making it easier to factor further.

Front

What is the GCF of 48t and 12t^3?

Back

12t