Divide the polynomials. The form of your answer should either be p(x) or p(x)+(k)/(x+1) where p(x) is a polynomial and k is an integer. (3x^(3)+x-11)/(x+1)=◻

Question

Divide the polynomials. The form of your answer should either be  p(x) or  p(x)+(k)/(x+1) where  p(x) is a polynomial and  k is an integer.  (3x^(3)+x-11)/(x+1)=◻

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Set up long division: Set up the long division. We will use polynomial long division to divide (3x^3 + x - 11) by (x + 1).Divide first term: Divide the first term of the dividend by the first term of the divisor. Divide 3x^3 by x to get 3x^2. Write this term above the division bar.Multiply divisor by term: Multiply the divisor by the term found in Step 2. Multiply (x + 1) by 3x^2 to get 3x^3 + 3x^2. Write this below the dividend.Subtract result: Subtract the result of Step 3 from the dividend. Subtract (3x^3 + 3x^2) from (3x^3 + x - 11) to get -3x^2 + x - 11.Bring down next term: Bring down the next term of the dividend. Since there is no x^2 term in the original dividend, we consider it as 0x^2. So, we bring down the x term to get -3x^2 + x.Repeat division process: Repeat the division process with the new polynomial. Divide -3x^2 by x to get -3x. Write this term above the division bar next to 3x^2.Multiply divisor by term: Multiply the divisor by the term found in Step 6. Multiply (x + 1) by -3x to get -3x^2 - 3x. Write this below the current dividend.Subtract result: Subtract the result of Step 7 from the current dividend. Subtract (-3x^2 - 3x) from (-3x^2 + x) to get 4x - 11.Bring down next term: Bring down the next term of the dividend. Since there is no constant term in the current dividend, we bring down the -11 to get 4x - 11.Repeat division process: Repeat the division process with the new polynomial. Divide 4x by x to get 4. Write this term above the division bar next to -3x.Multiply divisor by term: Multiply the divisor by the term found in Step 10. Multiply (x + 1) by 4 to get 4x + 4. Write this below the current dividend.Subtract result: Subtract the result of Step 11 from the current dividend. Subtract (4x + 4) from (4x - 11) to get -15.Write final answer: Write the final answer. The quotient is 3x^2 - 3x + 4 with a remainder of -15. The remainder is written as a fraction with the divisor (x + 1). The final answer is 3x^2 - 3x + 4 - (15)/(x + 1).

Divide the polynomials. $\newline$ The form of your answer should either be $p(x)$ or $p(x)+\frac{k}{x+1}$ where $p(x)$ is a polynomial and $k$ is an integer. $\newline$ $\frac{3 x^{3}+x-11}{x+1}=\square$

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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+1 p(x)+\frac{k}{x+1} p(x)+x+1k​ where p(x) p(x) p(x) is a polynomial and k k k is an integer.\newline3x3+x−11x+1=□ \frac{3 x^{3}+x-11}{x+1}=\square x+13x3+x−11​=□

Divide the polynomials. $\newline$ The form of your answer should either be $p(x)$ or $p(x)+\frac{k}{x+1}$ where $p(x)$ is a polynomial and $k$ is an integer. $\newline$ $\frac{3 x^{3}+x-11}{x+1}=\square$