Divide the polynomials. The form of your answer should either be p(x) or p(x)+(k)/(x+3) where p(x) is a polynomial and k is an integer. (2x^(3)-x^(2)-12)/(x+3)=

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Divide the polynomials. The form of your answer should either be  p(x) or  p(x)+(k)/(x+3) where  p(x) is a polynomial and  k is an integer.  (2x^(3)-x^(2)-12)/(x+3)=

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Set up long division: Set up the long division. We will use polynomial long division to divide (2x^3 - x^2 - 12) by (x + 3).Divide first term: Divide the first term of the dividend by the first term of the divisor. Divide 2x^3 by x to get 2x^2. Write 2x^2 above the division bar.Multiply divisor and result: Multiply the divisor (x + 3) by the result from Step 2 (2x^2). 2x^2 * (x + 3) = 2x^3 + 6x^2.Subtract result from dividend: Subtract the result from Step 3 from the dividend. (2x^3 - x^2 - 12) - (2x^3 + 6x^2) = -7x^2 - 12. Bring down the next term if necessary.Divide new dividend: Divide the first term of the new dividend (-7x^2) by the first term of the divisor (x). Divide -7x^2 by x to get -7x. Write -7x above the division bar next to 2x^2.Multiply divisor and result: Multiply the divisor (x + 3) by the result from Step 5 (-7x). -7x * (x + 3) = -7x^2 - 21x.Subtract result from new dividend: Subtract the result from Step 6 from the new dividend. (-7x^2 - 12) - (-7x^2 - 21x) = 21x - 12.Divide new dividend: Divide the first term of the new dividend (21x) by the first term of the divisor (x). Divide 21x by x to get 21. Write 21 above the division bar next to 2x^2 - 7x.Multiply divisor and result: Multiply the divisor (x + 3) by the result from Step 8 (21). 21 * (x + 3) = 21x + 63.Subtract result from new dividend: Subtract the result from Step 9 from the new dividend. (21x - 12) - (21x + 63) = -75.Write the remainder: Write the remainder. Since -75 cannot be divided by x + 3, we write it as the remainder in the form of (-75)/(x + 3).Combine quotient and remainder: Combine the quotient and the remainder to express the final answer. The quotient is 2x^2 - 7x + 21 and the remainder is (-75)/(x + 3). The final answer is p(x) + (k)/(x + 3), where p(x) = 2x^2 - 7x + 21 and k = -75.

Divide the polynomials. $\newline$ The form of your answer should either be $p(x)$ or $p(x)+\frac{k}{x+3}$ where $p(x)$ is a polynomial and $k$ is an integer. $\newline$ $\frac{2 x^{3}-x^{2}-12}{x+3}=$

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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+3 p(x)+\frac{k}{x+3} p(x)+x+3k​ where p(x) p(x) p(x) is a polynomial and k k k is an integer.\newline2x3−x2−12x+3= \frac{2 x^{3}-x^{2}-12}{x+3}= x+32x3−x2−12​=

Divide the polynomials. $\newline$ The form of your answer should either be $p(x)$ or $p(x)+\frac{k}{x+3}$ where $p(x)$ is a polynomial and $k$ is an integer. $\newline$ $\frac{2 x^{3}-x^{2}-12}{x+3}=$