Answer:
x⁴ -14/3x -1
Step-by-step explanation:
You apparently want the quotient from the polynomial division ...
[tex]\dfrac{9x^5-42x^2-9x}{9x}[/tex]
Here, the division can be carried out term by term.
[tex]=\dfrac{9x^5}{9x}-\dfrac{42x^2}{9x}-\dfrac{9x}{9x}=\boxed{x^4-\frac{14}{3}x-1}[/tex]
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Additional comment
The coefficients are divided in the usual way. The variables are divided according to the rule of exponents (a^b)/(a^c) = a^(b-c).
Without parentheses, the Order of Operations demands the expression in the problem statement be interpreted as 9x⁵ -42x² -(9x/9)x = 9x⁵ -43x². We have presumed that is not what you intended.