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Divide the polynomials.
Your answer should be a polynomial.

(2x^(3)-5x^(2)+x)/(x)=

Divide the polynomials.\newlineYour answer should be a polynomial.\newline2x35x2+xx= \frac{2 x^{3}-5 x^{2}+x}{x}=

Full solution

Q. Divide the polynomials.\newlineYour answer should be a polynomial.\newline2x35x2+xx= \frac{2 x^{3}-5 x^{2}+x}{x}=
  1. Understanding division of polynomials: Understand the division of polynomials. When dividing a polynomial by a monomial, you divide each term of the polynomial by the monomial.
  2. Dividing the first term: Divide the first term of the polynomial by xx.\newline(2x3)/x=2x(31)=2x2(2x^3) / x = 2x^{(3-1)} = 2x^2
  3. Dividing the second term: Divide the second term of the polynomial by xx.\newline(5x2)/x=5x(21)=5x(-5x^2) / x = -5x^{(2-1)} = -5x
  4. Dividing the third term: Divide the third term of the polynomial by xx.\newlinex/x=x(11)=1x / x = x^{(1-1)} = 1
  5. Combining the results: Combine the results of the divisions to get the final polynomial.\newlineThe result of the division is 2x25x+12x^2 - 5x + 1.

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