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Worksheet: Polynomial Remainder Theorem: Checking Factors of Polynomials

Q1:

A polynomial 𝑓 ( π‘₯ ) is divided by ( π‘₯ βˆ’ π‘Ž ) . Given that ( π‘₯ βˆ’ π‘Ž ) is not a factor of 𝑓 ( π‘₯ ) , what is the remainder equal to?

  • A0
  • B 𝑓 ( π‘₯ )
  • C 𝑓 ( π‘Ÿ )
  • D 𝑓 ( π‘Ž )

Q2:

Given that ( π‘₯ βˆ’ π‘Ž ) is a factor of 𝑓 ( π‘₯ ) , what is the remainder when 𝑓 ( π‘₯ ) is divided by ( π‘₯ βˆ’ π‘Ž ) ?