Simplify the expression 7x310x28x2x29x+10\displaystyle {\frac{{{7}{x}^{{3}}-{10}{x}^{{2}}-{8}{x}}}{{{2}{x}^{{2}}-{9}{x}+{10}}}}

Give your answer in the form of f(x)g(x).\displaystyle {\frac{{{f{{\left({x}\right)}}}}}{{{g{{\left({x}\right)}}}}}}.

Your answer for the function f(x)\displaystyle {f{{\left({x}\right)}}} is :  
Your answer for the function g(x)\displaystyle {g{{\left({x}\right)}}} is :