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Divide the polynomials. Your answer should be a polynomial. (3x^(4)-6x^(2)-x)/(x)=

Divide the polynomials.\newlineYour answer should be a polynomial.\newline3x4−6x2−xx= \frac{3 x^{4}-6 x^{2}-x}{x}=

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Composition of linear and quadratic functions: find an equationright chevron icon

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Q. Divide the polynomials.\newlineYour answer should be a polynomial.\newline3x4−6x2−xx= \frac{3 x^{4}-6 x^{2}-x}{x}=
  1. Understand Polynomial Division: Understand the division of polynomials. When dividing a polynomial by a monomial, you divide each term of the polynomial by the monomial.
  2. Divide First Term: Divide the first term 3x43x^4 by xx.\newline3x4÷x=3x33x^4 \div x = 3x^3
  3. Divide Second Term: Divide the second term −6x2-6x^2 by xx.\newline−6x2÷x=−6x-6x^2 \div x = -6x
  4. Divide Third Term: Divide the third term −x-x by xx.\newline−x÷x=−1-x \div x = -1
  5. Combine Results: Combine the results of the divisions to get the final answer.\newlineThe result of the division is 3x3−6x−13x^3 - 6x - 1.

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