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Remainder theorem

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Problem

P(x) is a polynomial.
  • P(x) divided by (x9) has a remainder of 1.
  • P(x) divided by (x4) has a remainder of 7.
  • P(x) divided by (x+4) has a remainder of 0.
  • P(x) divided by (x+9) has a remainder of 5.
Find the following values of P(x).
P(4)=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
P(9)=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
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