Monomial (GCF) Factoring

Front

What is a monomial?

Back

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

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers share.

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

What is the GCF of 12 and 27?

Back

The GCF of 12 and 27 is 3.

Front

Factor the expression: x^2 - 5x

Back

x(x - 5) is the factored form.

Front

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

Back

The GCF is 10b^2.

Front

Factor the expression: 2x + 18

Back

2(x + 9) is the factored form.

Front

What is the purpose of monomial factoring?

Back

Monomial factoring simplifies expressions and helps solve equations by breaking them down into simpler components.

Front

Expand the expression: (x - 2)(x - 3)

Back

The expanded form is x^2 - 5x + 6.

Front

What is a common factor?

Back

A common factor is a number that divides two or more numbers without leaving a remainder.