Factoring: GCF also known as Common Monomial Factor

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more 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 they have in common.

Front

What is the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6.

Front

What does it mean for a polynomial to be factored?

Back

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

Front

What is a prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into simpler polynomials, except for the trivial factor of 1.

Front

Factor the expression: 15x + 25.

Back

5(3x + 5).

Front

What is the GCF of 24x^2 and 36x?

Back

The GCF is 12x.

Front

How do you factor using the GCF?

Back

Identify the GCF of all terms, factor it out, and express the remaining polynomial.

Front

Factor the expression: 8y^3 + 12y^2.

Back

4y^2(2y + 3).

Front

What is the GCF of 45 and 75?

Back

The GCF of 45 and 75 is 15.