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Divide the polynomials. Your answer should be in the form p(x)+kxp(x)+\frac{k}{x} where pp is a polynomial and kk is an integer. 6x5−2x4−1x=\frac{6x^5-2x^4-1}{x}=

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Q. Divide the polynomials. Your answer should be in the form p(x)+kxp(x)+\frac{k}{x} where pp is a polynomial and kk is an integer. 6x5−2x4−1x=\frac{6x^5-2x^4-1}{x}=
  1. Identify division operation: Step 11: Identify the division operation needed. Divide each term of the polynomial 6x5−2x4−16x^5 - 2x^4 - 1 by xx.
  2. Perform division for each term: Step 22: Perform the division for each term.\newline(6x5)/x=6x4(6x^5)/x = 6x^4\newline(−2x4)/x=−2x3(-2x^4)/x = -2x^3\newline(−1)/x=−1/x(-1)/x = -1/x
  3. Combine results from Step 22: Step 33: Combine the results from Step 22. The polynomial part, p(x)p(x), is 6x4−2x36x^4 - 2x^3. The remainder part, k/xk/x, is −1/x-1/x.

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