factor the polynomial 3x^6+30x^5+72x^4 if the polynomial is not factorable write prime

Question

please provide steps and if the polynomial is prime or not

Answer 1

The polynomial 3x^6 + 30x^5 + 72x^4 is factorable.

 

3x^6 + 30x^5 + 72x^4 = 3x^4(x^2 + 10x + 24)
                                   = 3x^4(x + 6)(x + 4)