Q. Divide the polynomials. Your answer should be in the form p(x)+xk where p is a polynomial and k is an integer.x3x2−10=□
Identify dividend and divisor: Identify the dividend and the divisor.In the expression (3x2−10)/x, 3x2−10 is the dividend and x is the divisor.Dividend: 3x2−10Divisor: x
Perform division of first term: Perform the division of the first term of the dividend by the divisor.Divide 3x2 by x to get 3x.Calculation: x3x2=3x
Perform division of second term: Perform the division of the second term of the dividend by the divisor.Since −10 does not contain the variable x, it cannot be divided by x in the same way as the first term. Instead, it will be represented as a fraction with x in the denominator.Calculation: −10/x=−x10
Combine division results: Combine the results of the divisions to express the answer in the form p(x)+xk.The polynomial part p(x) is the result of the division of the terms containing x, and k is the integer resulting from the division of the constant term.Calculation: x3x2−x10=3x−x10
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