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Divide the polynomials. Your answer should be in the form p(x)+kxp(x)+\frac{k}{x} where pp is a polynomial and kk is an integer. 6x24x3x=\frac{6x^2-4x-3}{x}=

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Q. Divide the polynomials. Your answer should be in the form p(x)+kxp(x)+\frac{k}{x} where pp is a polynomial and kk is an integer. 6x24x3x=\frac{6x^2-4x-3}{x}=
  1. Identify Division: Identify the division to be performed.\newlineDivide each term of the polynomial (6x24x3)(6x^2 - 4x - 3) by xx.\newlineCalculation: (6x2)/x=6x(6x^2)/x = 6x, (4x)/x=4(-4x)/x = -4, (3)/x=3/x(-3)/x = -3/x
  2. Divide Each Term: Combine the results of the division.\newlineCombine the quotient terms to form the polynomial part and the remainder.\newlineCalculation: p(x)=6x4p(x) = 6x - 4, k=3k = -3
  3. Combine Results: Write the final answer in the specified format.\newlineExpress the result as p(x)+kxp(x) + \frac{k}{x}.\newlineCalculation: 6x4+3x6x - 4 + \frac{-3}{x}

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