Question 1188807: Find the quadratic function with integral coefficients having the given zeros of -2 and 7/2
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849)   (Show Source):
Answer by ikleyn(52780)  (Show Source):
You can put this solution on YOUR website! .
Find the quadratic function with integral coefficients having the given zeros of -2 and 7/2
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The answer  in the post by @MathLover1 is INCORRECT,
since her polynomial is not with integer coefficients.
To get a correct answer, you should multiply that polynomial by 2 to rid of the denominator.
So, a correct answer is f(x) = 2x^2 -3x - 14.
You may use any integer multiple of the last polynomial, too, for example
4x^2 - 6x - 28,
or
6x^2 - 9x - 42.
They define DIFFERENT QUADRATIC FUNCTIONS, but they all HAVE THE ASSIGNED ZEROES.
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By the way, the question in your post is posed INCORRECTLY.
It asks about " the function ", but in reality, there are MANY such functions;
actually, even INFINITELY MANY.
So the correct question should be " find A quadratic function . . . "
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