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. (3x^(3)+x^(2)-4x+12)/(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.  (3x^(3)+x^(2)-4x+12)/(x+2)=

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Set up division: Set up the long division. We will use polynomial long division to divide 3x^3 + x^2 - 4x + 12 by x + 2.Divide first term: Divide the first term of the numerator by the first term of the denominator. Divide 3x^3 by x to get 3x^2. Write 3x^2 above the division bar.Multiply divisor: Multiply the entire divisor by the result from Step 2. Multiply (x + 2) by 3x^2 to get 3x^3 + 6x^2.Subtract result: Subtract the result from Step 3 from the corresponding terms of the dividend. Subtract (3x^3 + 6x^2) from (3x^3 + x^2) to get -5x^2. Bring down the next term of the dividend, which is -4x, to get -5x^2 - 4x.Divide new leading term: Divide the new leading term of the remainder by the first term of the divisor. Divide -5x^2 by x to get -5x. Write -5x above the division bar next to 3x^2.Multiply divisor again: Multiply the entire divisor by the result from Step 5. Multiply (x + 2) by -5x to get -5x^2 - 10x.Subtract result again: Subtract the result from Step 6 from the corresponding terms of the current remainder. Subtract (-5x^2 - 10x) from (-5x^2 - 4x) to get 6x. Bring down the next term of the dividend, which is +12, to get 6x + 12.Bring down next term: Divide the new leading term of the remainder by the first term of the divisor. Divide 6x by x to get 6. Write 6 above the division bar next to 3x^2 - 5x.Divide new leading term again: Multiply the entire divisor by the result from Step 8. Multiply (x + 2) by 6 to get 6x + 12.Multiply divisor again: Subtract the result from Step 9 from the corresponding terms of the current remainder. Subtract (6x + 12) from (6x + 12) to get 0.Subtract result again: Write the final answer. Since there is no remainder, the final answer is just the quotient we have found. The quotient is 3x^2 - 5x + 6.

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. $\newline$ $\frac{3 x^{3}+x^{2}-4 x+12}{x+2}=$

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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.\newline3x3+x2−4x+12x+2= \frac{3 x^{3}+x^{2}-4 x+12}{x+2}= x+23x3+x2−4x+12​=

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. $\newline$ $\frac{3 x^{3}+x^{2}-4 x+12}{x+2}=$