Algebra- GCF and Factoring Monomials Flashcard

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides each of the integers without leaving a remainder.

Front

How do you find the GCF of two monomials?

Back

To find the GCF of two monomials, identify the common variables and take the lowest exponent for each variable, and find the GCF of the coefficients.

Front

Factor the expression: w^3 + 3w

Back

w(w^2 + 3)

Front

What is the GCF of a^2b^5 and a^3b^3?

Back

a^2b^3

Front

Which is the GCF of 12x and 27?

Back

3

Front

Factor the expression: 2n^2 - 8n^3

Back

2n^2(1 - 4n)

Front

Find the GCF of the polynomial: 72y^5 + 18y^2

Back

18y^2

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.

Front

What is the difference between GCF and LCM?

Back

GCF is the greatest common factor, while LCM is the least common multiple of two or more numbers.

Front

How do you factor using GCF?

Back

To factor using GCF, identify the GCF of the terms in the expression and factor it out.