the quadratic equation whose roots are -3 and -7
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Step-by-step explanation:
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
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