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Polynomials - Division Algorithm

Maths · Grade 10 · Week 7 · 25 questions

Polynomials are expressions with multiple terms involving variables raised to different powers. Understanding how to add, subtract, multiply, and factor polynomials is fundamental to advanced algebra.

What you'll practise

  • Identify the degree and terms of polynomials
  • Add, subtract, and multiply polynomials
  • Factorise polynomial expressions
  • Apply the remainder and factor theorems
All 25 questions in this Polynomials - Division Algorithm quiz

Grade 10 MathsPolynomials - Division Algorithm: 25 practice questions with instant scoring and explanations.

  1. If p(x)=g(x)·q(x)+r(x), deg(r) is:
  2. When x³+1 is divided by x+1, remainder:
  3. When x²+3x+2 is divided by x+1, quotient:
  4. Remainder when x³-3x²+3x-1 ÷ (x-1):
  5. If x²-5x+6 ÷ (x-2), remainder:
  6. Degree of remainder must be:
  7. When 2x³+x²-5x+2 ÷ (x-1), remainder:
  8. Remainder when x² - 3x - 5 is divided by (x - 2):
  9. Remainder when x² x + 2 is divided by (x - 2):
  10. Remainder when x² - 5x - 1 is divided by (x - -2):
  11. Remainder when x² - 5x - 1 is divided by (x - 2):
  12. Remainder when x² - 4x + 3 is divided by (x - 1):
  13. Remainder when x² + 3x is divided by (x - 1):
  14. Remainder when x² + 5x + 4 is divided by (x - -2):
  15. Remainder when x² + 3x is divided by (x - -1):
  16. Remainder when x² - 5x is divided by (x - 2):
  17. Remainder when x² + 2x - 3 is divided by (x - 3):
  18. Remainder when x² + 3x - 4 is divided by (x - -3):
  19. Remainder when x² + 5x + 1 is divided by (x - 1):
  20. Remainder when x² - 4x + 5 is divided by (x - -3):
  21. Remainder when x² + 1x - 2 is divided by (x - 1):
  22. Remainder when x² - 2x + 5 is divided by (x - 3):
  23. Remainder when x² - 4x - 4 is divided by (x - -3):
  24. Remainder when x² - 1x - 5 is divided by (x - 1):
  25. Remainder when x² + 4x - 4 is divided by (x - -2):
Question 1 of 250 correct so far

If p(x)=g(x)·q(x)+r(x), deg(r) is: