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Divide the polynomials.
Your answer should be a polynomial.

(2x^(4)-3x)/(x)=

Divide the polynomials.\newlineYour answer should be a polynomial.\newline2x43xx= \frac{2 x^{4}-3 x}{x}=

Full solution

Q. Divide the polynomials.\newlineYour answer should be a polynomial.\newline2x43xx= \frac{2 x^{4}-3 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.\newlineDivide 2x42x^4 by xx to get 2x32x^3.\newlineCalculation: (2x4)/x=2x(41)=2x3(2x^4) / x = 2x^{(4-1)} = 2x^3
  3. Dividing the second term: Divide the second term of the polynomial by xx.\newlineDivide 3x-3x by xx to get 3-3.\newlineCalculation: (3x)/x=3x(11)=3x0=3(-3x) / x = -3x^{(1-1)} = -3x^0 = -3
  4. Combining the results: Combine the results of the division.\newlineCombine the results from Step 22 and Step 33 to get the final answer.\newlineFinal Answer: 2x332x^3 - 3

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