Question

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

Answer 1

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.