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Divide. If the polynomial does not divide evenly, include the remainder as a fraction. (-7f - 33) ÷ (f + 2)

Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
(-7f - 33) ÷ (f + 2)

Answer

To divide the polynomial (-7f - 33) by (f + 2), use polynomial long division:

  1. Divide the first term of the dividend (-7f) by the first term of the divisor (f) to get -7.
  2. Multiply the entire divisor (f + 2) by -7 to get (-7f - 14).
  3. Subtract (-7f - 14) from (-7f - 33) to get a remainder of -19.
  4. The quotient is -7 with a remainder of -19.

Thus, the result is -7 - 19/(f + 2).

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