Respuesta :

The given polynomial is,

[tex]15x^6+35x^4+10x^3[/tex]

Expand the above polynomial.

[tex]5\times3x^3x^3+5\times7x^3x+2\times5x^3[/tex]

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

[tex]5^{}x^3(3x^3+7x+2)[/tex]

The term outside the brackets is the GCF.

So, the GCF of the given polynomial is,

[tex]5x^3[/tex]