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Algebra 2

Course: Algebra 2 > Unit 4

Lesson 4: Polynomial Remainder Theorem
Math
Algebra 2
Polynomial division
Polynomial Remainder Theorem
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Remainder theorem

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Problem

P, left parenthesis, x, right parenthesis is a polynomial.
  • P, left parenthesis, x, right parenthesis divided by left parenthesis, x, minus, 9, right parenthesis has a remainder of 1.
  • P, left parenthesis, x, right parenthesis divided by left parenthesis, x, minus, 4, right parenthesis has a remainder of 7.
  • P, left parenthesis, x, right parenthesis divided by left parenthesis, x, plus, 4, right parenthesis has a remainder of 0.
  • P, left parenthesis, x, right parenthesis divided by left parenthesis, x, plus, 9, right parenthesis has a remainder of minus, 5.
Find the following values of P, left parenthesis, x, right parenthesis.
P, left parenthesis, 4, right parenthesis, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
P, left parenthesis, minus, 9, right parenthesis, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
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