SOLUTION: I have a question on how to "Factor Polynomials", here is one problem from my homework that I need help with: Find the GCF and the LCM of the following monomials: 49x cubed, 35x s

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Question 396337: I have a question on how to "Factor Polynomials", here is one problem from my homework that I need help with: Find the GCF and the LCM of the following monomials:
49x cubed, 35x squared y

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the GCF and the LCM of the following monomials:
49x cubed, 35x squared y
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Prime factor each expression:
49x = 7^2x
---
35x^2y = 5*7xy^2
=====================
The GCF contains the factors that are common to both expressions.
The GCF is 7x
-------
The LCM contains all of the factors from both expressions
in their highest power.
The LCM = 5*7^2xy^2 = 245xy^2
==================================
Cheers,
Stan H.
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