Answer:
[tex]3x(2x+3)(x+7)[/tex]
Step-by-step explanation:
The given polynomial expression is [tex]6x^3+39x^2+63x[/tex]
We factor the factor the greatest common factor of 3x to get;
[tex]3x(2x^2+13x+21)[/tex]
We now factor the quadratic trinomial by splitting the middle term
[tex]3x(2x^2+7x+6x+21)[/tex]
[tex]3x(2x(x+7)+3(2x+7))[/tex]
[tex]3x(2x+3)(x+7)[/tex]
The completely factored form is [tex]3x(2x+3)(x+7)[/tex]
