Assuming you meant
g(x) = (5x^3 - 28x^2 - 48x)/(-8x+7)
it's not a polynomial. The possible rational zeroes of the numerator include all the fractions whose numerator is a factor of 48 and whose denominator is 1 or 5.
The only rational root of that is 0.
Would you care to repost the question, using ^ for exponents, as I did above?
Using the rational zeros theorem to find all zeros of a polynomial
The function below has at least one rational zero. Use this fact to find all zeros of the function
g(x)=5x©ù-28©ø-48x©÷-8x+7
if more than one zero, separate with commas. Write exact values, not decimal approximations
+-(1,7)/(1,5)=+-1/(5,1)
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