Divide the polynomials. The form of your answer should either be p(x) or p(x)+(k)/(x-5) where p(x) is a polynomial and k is an integer. (5x^(3)-22x^(2)-17 x+11)/(x-5)=

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Divide the polynomials. The form of your answer should either be  p(x) or  p(x)+(k)/(x-5) where  p(x) is a polynomial and  k is an integer.  (5x^(3)-22x^(2)-17 x+11)/(x-5)=

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Set up long division: Set up the long division. We will use polynomial long division to divide (5x^3 - 22x^2 - 17x + 11) by (x - 5).Divide first term: Divide the first term of the numerator by the first term of the denominator. Divide 5x^3 by x to get 5x^2. Write 5x^2 above the division bar.Multiply divisor by result: Multiply the entire divisor (x - 5) by the result from Step 2 (5x^2). 5x^2 * (x - 5) = 5x^3 - 25x^2. Write this result under the first two terms of the dividend.Subtract result from first terms: Subtract the result from Step 3 from the first two terms of the dividend. (5x^3 - 22x^2) - (5x^3 - 25x^2) = 3x^2. Bring down the next term of the dividend, which is -17x, to get 3x^2 - 17x.Bring down next term: Divide the first term of the new polynomial (3x^2 - 17x) by the first term of the divisor (x). Divide 3x^2 by x to get 3x. Write 3x above the division bar, next to 5x^2.Divide first term of new polynomial: Multiply the entire divisor (x - 5) by the result from Step 5 (3x). 3x * (x - 5) = 3x^2 - 15x. Write this result under the corresponding terms of the polynomial.Multiply divisor by result: Subtract the result from Step 6 from the corresponding terms of the polynomial. (3x^2 - 17x) - (3x^2 - 15x) = -2x. Bring down the next term of the dividend, which is +11, to get -2x + 11.Subtract result from polynomial: Divide the first term of the new polynomial (-2x + 11) by the first term of the divisor (x). Divide -2x by x to get -2. Write -2 above the division bar, next to 5x^2 + 3x.Bring down next term: Multiply the entire divisor (x - 5) by the result from Step 8 (-2). -2 * (x - 5) = -2x + 10. Write this result under the corresponding terms of the polynomial.Divide first term of new polynomial: Subtract the result from Step 9 from the corresponding terms of the polynomial. (-2x + 11) - (-2x + 10) = 1. This is the remainder of the division.Multiply divisor by result: Write the final answer in the form requested. The quotient is 5x^2 + 3x - 2 with a remainder of 1. The final answer is p(x) + (k)/(x - 5), where p(x) = 5x^2 + 3x - 2 and k = 1.

Divide the polynomials. $\newline$ The form of your answer should either be $p(x)$ or $p(x)+\frac{k}{x-5}$ where $p(x)$ is a polynomial and $k$ is an integer. $\newline$ $\frac{5 x^{3}-22 x^{2}-17 x+11}{x-5}=$

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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−5 p(x)+\frac{k}{x-5} p(x)+x−5k​ where p(x) p(x) p(x) is a polynomial and k k k is an integer.\newline5x3−22x2−17x+11x−5= \frac{5 x^{3}-22 x^{2}-17 x+11}{x-5}= x−55x3−22x2−17x+11​=

Divide the polynomials. $\newline$ The form of your answer should either be $p(x)$ or $p(x)+\frac{k}{x-5}$ where $p(x)$ is a polynomial and $k$ is an integer. $\newline$ $\frac{5 x^{3}-22 x^{2}-17 x+11}{x-5}=$