Factoring Polynomials Using Greatest Common Factor

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used to simplify fractions and factor polynomials.

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 variables, and multiply them together.

Front

Factor the expression: 12x + 9

Back

3(4x + 3)

Front

Determine the GCF of -5j³k⁷m² and -20jk²m⁵.

Back

-5jk²m²

Front

What is one possible pair of polynomials with GCF 13xy²z³?

Back

65x³y⁴z³ and 26xy²z¹⁸.

Front

List the factors of 25.

Back

1, 5, 25

Front

Factor the expression: 56a³ - 8a

Back

8a(7a² - 1)

Front

What is the first step in factoring a polynomial using GCF?

Back

Identify the GCF of all the terms in the polynomial.

Front

Why is factoring polynomials important in algebra?

Back

Factoring polynomials helps simplify expressions, solve equations, and analyze functions.

Front

What does it mean for a polynomial to be factorable?

Back

A polynomial is factorable if it can be expressed as a product of simpler polynomials.