Math41Math41

I. Polynomials (3) Polynomial Division, Identities, and the Remainder Theorem (Fundamentals)

Exams by Grade · K10 · Author: jaeinpark

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  1. Q1
    For two polynomials and , the remainder of divided by is , and the remainder of divided by is . Find the remainder when is divided by .
  2. Q2
    When is the identity with respect to for a polynomial , find the value of .
  3. Q3
    The remainder of the polynomial divided by is . When the remainder of divided by is , and the remainder of divided by is , find the value of .
  4. Q4
    Find the quotient and remainder when dividing the polynomial by the polynomial .
  5. Q5
    The remainder of the polynomial divided by is . When the remainder of divided by is , and the remainder of divided by is , find the value of .
  6. Q6
    When is the identity with respect to for a polynomial , find the value of .
  7. Q7
    For two polynomials and , the remainder of divided by is , and the remainder of divided by is . Find the remainder when is divided by .
  8. Q8
    When the polynomial is divided by , the quotient is and the remainder is . Find the value of in this case.
  9. Q9
    When the polynomial is divided by a polynomial , the quotient is and the remainder is . Find the polynomial .
  10. Q10
    When , find the value of .