Verified answer

if you mean factorising instead of factoring

and you mean quadratic instead of polynomial

the answer is "no difference"

just take a bit more care

if there are numbers in front of the variable, you multiply those too. for example:

(2x+3)(5x-4) --> multiply 2x by 5x --> 10x^2

(2x+3)(5x-4) --> multiply 2x by -4 --> -8x

(2x+3)(5x-4) --> multiply 3 by 5x --> 15x

(2x+3)(5x-4) --> multiply 3 by -4 --> -12

10x^(2)-8x+15x-12

simplify --> 10x^2 +7x -12