factor completely. If the polynomial is not factorable, write “prime.” 3x^6+30x^5+72x^4

Question

please show steps thank you

Answer 1

3x⁶+30x⁵+72x⁴ = 3x⁴(x²+10x+24)

 

                      = 3x⁴(x+4)(x+6)

Answer 2

Factor out a 3x⁴.

 

3x⁴(x² + 10x + 24)

 

 

Then, we can factor out what is in parenthesis.

 

3x⁴(x + 6)(x + 4)

 

 

Now do the same for the other similar question that I saw.