Khan Academy: Algebra: Monomial Greatest Common Factor

Work your way through factoring polynomials with a learning exercise that starts with the GCF and ends with factoring by grouping. Each page provides an example as well as an answer key for each section. 

Sal explains that the most significant common factor of any number is the largest number divisible into both monomials and not necessarily the number with the most significant value. He breaks down two numbers into their prime factors as...

Model how to find the greatest common factor of monomial expressions with a video that works through three examples. The first is a constant, the second a single variable expression, and the third is a multivariable example.

Use prime factorization to find the greatest common factor of four given values. What are the factors that all four given values have in common? Identify them, and then multiply together to get the greatest common factor. Just like that....

What is the greatest common factor of two terms in an expression? First prime factor each of the terms. Then find the factors that they have in common. Multiply if needed. That is how to find the greatest common factor. Watch the video...

Use prime factorization to find the greatest common factor of three given values. Okay. But what if there doesn't seem to be any integer that is common in all three given values? Well, then, the greatest common factor must be 1. Not sure...

Introduce your class to the greatest factor on earth. The group of videos introduces factoring polynomials by finding the greatest common factor (GCF). They connect finding the GCF of the terms in a polynomial to finding the...

Multiply two monomial rational expressions and then rewrite the solution in simplest form. Multiplying seems straightforward, but what about the reducing part? Find the greatest common factor. Then divide the numerator by the GCF, and...

Factor out the greatest common factor to simplify a rational expression. When the greatest common factor is divided out of the numerator and the denominator what is left is the rational expression in simplest form. Watch as the teacher...

There are four terms in this polynomial. Find the greatest common factor. Remember to prime factor the number values to help find the GFC. Then rewrite the polynomial in simplest form. Not sure about this skill, then watch the instructor...