Remainder Theorem Worksheet - PDF

							010318                                                  Name ________________________________
PMa. 11                                                                            Block _____


                      4.8 The Remainder Theorem Worksheet
   1. For f(x) = 3x3 - 3x2 + 2x - 5, find

      a)   f(4)




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      b)   f(-2)




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   2. For g(x) = 3x3 + 4x2 + 2x + 3, find

      a)   g(-2)




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              2
      b)   g( 3 )




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Use the remainder theorem to determine the remainder for each division.

   3. (x2 - 3x + 5) ? (x - 4)




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   4. (2x2 + 5x - 7) ? (x - 2)




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010318                                            4.8 The Remainder Theorem Worksheet
  5. (x3 + 4x2 + 2x - 1) ? (x + 3)




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  6. (x3 + 6x2 - 2x - 11) ? (x - 1)




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  7. (x3 - 5x2 + x - 2) ? (x + 2)




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  8. (2n3 + 3n2 + 5n + 7) ? (n + 1)




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  9. (x3 - 27) ? (x - 3)




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 10. (2x3 - 7x2 - 4x - 15) ? (x - 5)




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 11. (x4 + 5x3 - 3x2 - 7x - 2) ? (x - 2)




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010318                                                     4.8 The Remainder Theorem Worksheet


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              3
 12. (3x2 - 2   x + 11) ? (x + 3 )




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 13. (6x2 + 5x + 4) ? (2x - 1)




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 14. (x3 + 2x2 - x - 1) ? (3x + 2)




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 15. (4x3 + x2 + 5x - 1) ? (4x - 3)




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 16. (8x3 - 24x + 65) ? (2x + 5)




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 17. Find k is the remainder on dividing x3 + kx2 - kx - 4 by x - 4 is 6.




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010318                                                          4.8 The Remainder Theorem Worksheet


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 18. Find t is the remainder on dividing x3 + 4x2 - (2t + 1)x - 5) by x + 3 is 25.




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 19. Find p if the remainder on dividing px3 + 5x2 - 3x - 4 by 2x - 3 is 14.




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 20. Find a and b is the remainder on dividing x3 + ax2 - bx - 15 by x - 2 is 7, and the remainder on
     dividing the same polynomial by x + 4 is 13.




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