Divide the polynomials. Your answer should be in the form p(x)+(k)/(x) where pis a polynomial and is an integer. (5x^4+9)/(x)=square

To divide the polynomial \(\frac{5x^4 + 9}{x}\), we can simply divide each term in the numerator by the denominator \(x\).<br /><br />\[<br />\frac{5x^4 + 9}{x} = \frac{5x^4}{x} + \frac{9}{x}<br />\]<br /><br />Now, let's simplify each term:<br /><br />\[<br />\frac{5x^4}{x} = 5x^{4-1} = 5x^3<br />\]<br /><br />\[<br />\frac{9}{x} = 9x^{-1}<br />\]<br /><br />So, the result of the division is:<br /><br />\[<br />5x^3 + \frac{9}{x}<br />\]<br /><br />Therefore, the answer in the form \(p(x) + \frac{k}{x}\) is:<br /><br />\[<br />5x^3 + \frac{9}{x}<br />\]