Question

Factor out the GCF from the polynomial.
18x^6+ 81x^5 - 63x^2 +45

Answer 1

The GCF is 9

Explanation:

In the given polynomial
`18x^6+ 81x^5 - 63x^2 +45` lets represent each term as its factors

`18x^6` =
`2 * 3 * 3 * x * x * x * x * x * x`

`81x^5` =
`3 * 3 * 3 * 3 * x * x * x * x * x`

`63x^2` =
`3 * 3 * 7 * x * x`

45 =
`3 * 3 * 5`

The greatest common factors from each term are 3 , 3

Thus the GCF =
`3 * 3` = 9