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Divide. If the polynomial does not divide evenly, include the remainder as a fraction. (s - 19) ÷ (s - 4)

Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
(s - 19) ÷ (s - 4)

Answer

To divide the polynomial (s - 19) by (s - 4), perform polynomial long division:

  1. Divide the first term of the dividend by the first term of the divisor: s ÷ s = 1.
  2. Multiply the entire divisor by this result: (s - 4) × 1 = s - 4.
  3. Subtract this from the original dividend: (s - 19) - (s - 4) = -15.
  4. The quotient is 1 with a remainder of -15.

Thus, the result is: 1 - 15/(s - 4).

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