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: 22b³ - 22b

Back

22b(b² - 1)

Front

Find the GCF of 12m³ and 10m².

Back

2m²

Front

Which of the following has a GCF of 1x³y? 12x³y² + 12x³y², 16x³y² + 16x³y, 15x³y + 5x³y, 8x³y + 5x³y².

Back

8x³y + 5x³y²

Front

Factor the following: 6x² - 6x

Back

6x(x - 1)

Front

What is the GCF of 100x³ + 100x²?

Back

100x²

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

What does it mean to factor a polynomial?

Back

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

Front

How do you factor out the GCF from a polynomial?

Back

Divide each term of the polynomial by the GCF and write the result in parentheses.