Factoring with GCF/Monomials

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 numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

Factor 7x + 21 using the GCF.

Back

7(x + 3)

Front

Factor 12y + 36 using the GCF.

Back

6(2y + 6)

Front

Factor 18y - 27 using the GCF.

Back

9(2y - 3)

Front

Factor 12x - 40 using the GCF.

Back

4(3x - 10)

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables.

Front

What is the process of factoring?

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

Front

What does it mean to factor out the GCF?

Back

Factoring out the GCF means to divide each term of the expression by the GCF and express the original expression as a product of the GCF and the remaining terms.

Front

Factor 15x + 30 using the GCF.

Back

15(x + 2)