Divide the polynomials. The form of your answer should either be p(x) or p(x)+(k)/(x-2) where p(x) is a polynomial and k is an integer. (x^(3)+6x^(2)-5x)/(x-2)=

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Divide the polynomials. The form of your answer should either be  p(x) or  p(x)+(k)/(x-2) where  p(x) is a polynomial and  k is an integer.  (x^(3)+6x^(2)-5x)/(x-2)=

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Set up long division: Set up the long division. We will use long division to divide the polynomial (x^3 + 6x^2 - 5x) by (x - 2).Divide first term: Divide the first term of the dividend by the first term of the divisor. Divide x^3 by x to get x^2. Write x^2 above the division bar.Multiply and subtract: Multiply the divisor (x - 2) by the result from the previous step (x^2). (x - 2) * x^2 = x^3 - 2x^2. Subtract this from the dividend.Perform subtraction: Perform the subtraction. (x^3 + 6x^2 - 5x) - (x^3 - 2x^2) = 8x^2 - 5x. Bring down the next term to continue the division.Divide new dividend: Divide the first term of the new dividend (8x^2) by the first term of the divisor (x). Divide 8x^2 by x to get 8x. Write 8x above the division bar next to x^2.Multiply and subtract: Multiply the divisor (x - 2) by the result from the previous step (8x). (x - 2) * 8x = 8x^2 - 16x. Subtract this from the new dividend.Perform subtraction: Perform the subtraction. (8x^2 - 5x) - (8x^2 - 16x) = 11x. Bring down the next term if there is any, but since there are no more terms, we proceed to the next step.Divide new dividend: Divide the first term of the new dividend (11x) by the first term of the divisor (x). Divide 11x by x to get 11. Write 11 above the division bar next to 8x.Multiply and subtract: Multiply the divisor (x - 2) by the result from the previous step (11). (x - 2) * 11 = 11x - 22. Subtract this from the new dividend.Perform subtraction: Perform the subtraction. (11x) - (11x - 22) = 22. This is the remainder since it is of lower degree than the divisor (x - 2).Write final answer: Write the final answer. The quotient is x^2 + 8x + 11 with a remainder of 22. The final answer in the form p(x) + (k)/(x - 2) is: p(x) = x^2 + 8x + 11 k = 22

Divide the polynomials. $\newline$ The form of your answer should either be $p(x)$ or $p(x)+\frac{k}{x-2}$ where $p(x)$ is a polynomial and $k$ is an integer. $\newline$ $\frac{x^{3}+6 x^{2}-5 x}{x-2}=$

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Divide the polynomials.\newlineThe form of your answer should either be p(x) p(x) p(x) or p(x)+kx−2 p(x)+\frac{k}{x-2} p(x)+x−2k​ where p(x) p(x) p(x) is a polynomial and k k k is an integer.\newlinex3+6x2−5xx−2= \frac{x^{3}+6 x^{2}-5 x}{x-2}= x−2x3+6x2−5x​=

Divide the polynomials. $\newline$ The form of your answer should either be $p(x)$ or $p(x)+\frac{k}{x-2}$ where $p(x)$ is a polynomial and $k$ is an integer. $\newline$ $\frac{x^{3}+6 x^{2}-5 x}{x-2}=$