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

1 Answer
May 8, 2016

greatest common factor: 5x^5

Explanation:

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.