SOLUTION: Quadratic Equations Write a quadratic equation with the given roots. b) -3/4, -2/3 Pleaseeeeeee Thanks a lottttttt

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Question 178088: Quadratic Equations
Write a quadratic equation with the given roots.
b) -3/4, -2/3 Pleaseeeeeee
Thanks a lottttttt
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
If two roots of a quadratic is:
-3/4, -2/3
then the quadratic must have the following factors:
(x+3/4), (x+2/3)
.
To get our quadratic, we multiply the two factors together using FOIL:
(x+3/4)(x+2/3)
x^2 + 2/3 x + 3/4 x +6/12
x^2 + 8/12 x + 9/12 x + 1/2
x^2 + 17/12 x + 1/2
x^2 + 17x/12 + 1/2 (this is what they're looking for)