Question 1156239
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Such a polynomial with rational coefficients is THIS


    g(x) = {{{(x-(-4))*(x-(-1))*(x-0)*(x- 3/2)}}} = {{{(x+4)*(x+1)*x*(x-3/2)}}}.


To make the coefficients INTEGER numbers, multiply it by 2.  You will get then another polynomial

    f(x) = (x+4)*(x+1)*x*(2x-3).     


which is just with INTEGER coefficients and is, therefore, your  <U>ANSWER</U>.


Next you can make FOIL to get the polynomial in a standard form.
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