What is the GCF of the terms of the polynomial #45x^5+35x^6#?

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Answer 1 · 2016-05-08T14:39:44

greatest common factor: #5x^5#

The greatest common factor (G.C.F.) is the largest factor that can divide by the given polynomial,

#45x^5+35x^6#

Since #45# and #35# can be divided by a factor of #5#, the expression simplifies to,

#=5(9x^5+7x^6)#

Furthermore, #x^5# can be factored as well. Thus,

#=5x^5(9+7x)#

Now that the expression is simplified, you can determine that the greatest common factor is #5x^5#, the term before the bracketed expression.