GCF Polynomials

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of two monomials?

Back

To find the GCF of two monomials, identify the common factors in their coefficients and the lowest power of each variable.

Front

Factor the following: 6x² - 6x

Back

6x(x - 1)

Front

Factor the following: 22b³ - 22b

Back

22b(b² - 1)

Front

Find the GCF of 12m³ and 10m²

Back

2m²

Front

What is the first step in factoring a polynomial?

Back

The first step is to find the GCF of all the terms in the polynomial.

Front

Factor the expression: 4m² + 12mn

Back

4m(m + 3n)

Front

Which of the following has a GCF of 5x? 10x + 10, 20x + 5, 5x³ + 5x², 20x² + 5x

Back

20x² + 5x

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.