Obtain a quadratic equation whose roots are -3 and -7

Answer 1

If you are given that the roots are -3 and -7, those are your x intercepts.

So x= -3 and x= -7....... since we are trying to reach a quadratic equation we are looking for two algebraic expressions that are factors. So I will move the -3 and -7 to the left side of each equation through opposite operations.

x+3=0 and x+7=0........Since both are set to zero we can use the zero product rule of ab=0.

(x+3)(x+7)=0.....FOIL it

x²+7x+3x+21=0....simplify

x²+10x+21=0..........Answer