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Divide. If the polynomial does not divide evenly, include the remainder as a fraction. (-45n + 351) ÷ (n - 8)

Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
(-45n + 351) ÷ (n - 8)

Answer

To divide the polynomial (-45n + 351) by (n - 8), use polynomial long division:

  1. Divide the first term of the dividend (-45n) by the first term of the divisor (n) to get -45.
  2. Multiply the entire divisor (n - 8) by -45 to get (-45n + 360).
  3. Subtract (-45n + 360) from (-45n + 351) to get a remainder of -9.
  4. The quotient is -45 with a remainder of -9.

Thus, the result is -45 - 9/(n - 8).

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