SOLUTION: what quadratic function can represent the solutions of the roots -4 and 5/3?

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Question 312503: what quadratic function can represent the solutions of the roots -4 and 5/3?
Found 2 solutions by nerdybill, Fombitz:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
what quadratic function can represent the solutions of the roots -4 and 5/3?
.
If the roots are -4 and 5/3 then the quadratic function MUST have the following factors:
(x + 4) and (x - 5/3)
.
FOIL the two factors:
(x + 4)(x - 5/3)
x^2 - 5x/3 + 4x -20/3
x^2 - 5x/3 + 12x/3 -20/3
x^2 + 7x/3 -20/3 (this is your quadratic function)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=a%28x%2B4%29%28x-5%2F3%29 where a is any non-zero constant.
f%28x%29=a%28x%5E2-%285%2F3%29x%2B4x-20%2F3%29
f%28x%29=a%28x%5E2%2B%287%2F3%29x-%2820%2F3%29%29
or
f%28x%29=a%283x%5E2%2B7x-20%29