Question 982966
This is just like the regular whole number multidigit multiplication method that is taught in elementary school mathematics classrooms.  Now you have degree of x instead of place value for power of ten.



______________x^2___________3x____________1
-
-
x^2__________x^4____________3x^3__________x^2
-
-
x___________x^3_____________3x^2__________x
-
-
2___________2x^2___________6x___________2



Top row is the terms of first polynomial factor.
Left column is the terms of  second polynomial factor.


Now, YOU write the resulting partial product terms in descending powers of x and then simplify.