ESAT (Engineering and Science Admissions Test) Β· Mathematics 2

Algebra and functions

11 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 11 questions

  1. The cubic has as a factor. What are all its roots?
  2. Express in partial fractions.
  3. The function is defined for . What is ?
  4. Complete the square for . Which expression is equal to it?
  5. The roots of are and . What is the value of ?
  6. Solve .
  7. When is divided by the remainder is . What is ?
  8. Solve .
  9. Given and , what is ?
  10. Statement: \" is prime for every positive integer .\" Which value of is a counterexample?
  11. Which pair of numbers shows that the sum of two irrational numbers is not always irrational?

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