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 in mathematics?

Back

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

Front

How do you find the GCF of two numbers?

Back

To find the GCF of two numbers, 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

How do you factor a polynomial using GCF?

Back

To factor a polynomial using GCF, identify the GCF of all the terms, then divide each term by the GCF and write the polynomial as the product of the GCF and the resulting polynomial.

Front

Factor the expression 2n² - 8n³ using GCF.

Back

The expression can be factored as 2n²(1 - 4n).

Front

What is the GCF of the terms 72y⁵ and 18y²?

Back

The GCF of 72y⁵ and 18y² is 18y².

Front

How do you factor the expression w³ + 3w?

Back

The expression can be factored as w(w² + 3).

Front

What is the GCF of 10x³ and 15x?

Back

The GCF of 10x³ and 15x is 5x.

Front

Factor the expression 10x³ - 15x using GCF.

Back

The expression can be factored as 5x(2x² - 3).