Question

Factor gcf out of polynomial
`5 {x}^(3) (3 {x}^(3 + 7 * + 2))`

Answer 1

The given polynomial is,

`15x^6+35x^4+10x^3`

Expand the above polynomial.

`5*3x^3x^3+5*7x^3x+2*5x^3`

Find the common factors in each term and write it as the common factor with the remaining terms inside brackets.

`5^{}x^3(3x^3+7x+2)`

The term outside the brackets is the GCF.

So, the GCF of the given polynomial is,

`5x^3`