Solve (5x^2+37x+46)/(x+6)

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1 Answer

Using synthetic division we use -6 as the "divisor":

-6 | 5  37    46

      5 -30 | -42

      5    7 |     4 (remainder), 5x+7 is the quotient.

(x+6)(5x+7)+4=5x2+37x+42+4=5x2​+37x+46, so (5x2​+37x+46)/(x+6)=5x+7+4/(x+6).

by Top Rated User (1.2m points)

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