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Divide the polynomials. Your answer should be a polynomial. (x^(3)-5x^(2))/(x)=◻

Divide the polynomials. Your answer should be a polynomial.\newlinex3−5x2x=□ \frac{x^{3}-5 x^{2}}{x}=\square

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Full solution

Q. Divide the polynomials. Your answer should be a polynomial.\newlinex3−5x2x=□ \frac{x^{3}-5 x^{2}}{x}=\square
  1. Divide polynomial by x: Divide each term of the polynomial x3−5x2x^3 - 5x^2 by xx.\newlineWe perform the division term by term:\newlinex3x−5x2x\frac{x^3}{x} - \frac{5x^2}{x}
  2. Simplify division results: Simplify each term after division.\newlinex3x=x3−1=x2\frac{x^3}{x} = x^{3-1} = x^2\newline5x2x=5x2−1=5x\frac{5x^2}{x} = 5x^{2-1} = 5x\newlineSo, the simplified terms are x2x^2 and 5x5x.
  3. Write down the result: Write down the result of the division as a polynomial.\newlineThe result is x2−5xx^2 - 5x.

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