Factor the GCF out of the polynomial3 {x}^(6) + 6 {x}^(4) + 15 {x}^(3)

Question

Factor the GCF out of the polynomial
`3 {x}^(6) + 6 {x}^(4) + 15 {x}^(3)`

Answer 1

The given polynomial is,

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

Expand the polynomial.

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

Take the common factor outside. So, the polynomial in factored form is

`3x^3(x^3+2x+5)`

The term outside the bracket is the GCF.

So, the GCF is ,

`3x^3`