Long division of polynomials follows the same algorithm, or process, as the long division or integers that you learned years ago. You look at the first term in the divisor and think about what you would need to multiply that one term by to get the first term of the dividend- and that value goes on top of the division bar. Then you multiply that value by each term in the divisor and write the polynomial answer below the divisor, lining up the like terms vertically. Then subtract vertically, bring down the next term in the dividend, and repeat the process. If done correctly, you can check your work by multiplying quotient times divisor = dividend.
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