Question 1188807
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Find the quadratic function with integral coefficients having the given zeros of -2 and 7/2
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The answer {{{f(x)=x^2 - (3/2)x - 7}}} 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, &nbsp;the question in your post is posed &nbsp;INCORRECTLY.


It asks about &nbsp;" the function ", &nbsp;but in reality, &nbsp;there are &nbsp;MANY &nbsp;such functions;

actually, &nbsp;even &nbsp;INFINITELY &nbsp;MANY.


So the correct question should be &nbsp;" find A quadratic function . . . "