SOLUTION: write the quadratic equation whose roots are -4 and -5 and whose leading coefficient is 5 use the letter x to represent the variable

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Question 728070: write the quadratic equation whose roots are -4 and -5 and whose leading coefficient is 5 use the letter x to represent the variable
Answer by nerdybill(7384) About Me  (Show Source):
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write the quadratic equation whose roots are -4 and -5 and whose leading coefficient is 5 use the letter x to represent the variable
.
If roots are -4 and -5, then the factors are
(x+4) and (x+5)
.
if you want the leading coefficient also, we multiply it altogether to get the "quadratic equation":
5(x+4)(x+5)
5(x^2+5x+4x+20)
5(x^2+9x+20)
5x^2+45x+100