Question 129724

{{{x=-10}}} or {{{x=-5}}}  Start with the given roots



{{{x+10=0}}} or {{{x+5=0}}}  Get all of the terms to the left side.



{{{(x+10)(x+5)=0}}} Now use the zero product property in reverse. Remember the zero product property says that if {{{A*B=0}}} then {{{A=0}}} or {{{B=0}}}



{{{x^2+5x+10x+50=0}}} Now foil the expression



{{{x^2+15x+50=0}}} Combine like terms



So the quadratic equation with the roots -10 and -5 is  


{{{f(x)=x^2+15x+50}}}