How do you find the gcf of 25^3 - 35x253−35x?

1 Answer
George C.
Jun 23, 2015

The only common factor of the terms is 55, so the gcf is 55.

Explanation:

To find the gcf, first factor each term, then identify the common factors with their multiplicities, then multiply those common factors to get the gcf.

In the example given:

25^3 = 5*5*5*5*5*5253=5⋅5⋅5⋅5⋅5⋅5

35x=5*7*x35x=5⋅7⋅x

The only common factor in all the terms is 55, so the GCF is 55.

Related questions
See all questions in Monomial Factors of Polynomials
Impact of this question
1977 views around the world
You can reuse this answer
Creative Commons License