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✅History Entrance Questions /Work Book 🤩

🌞2004 - 2008

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#Mathematics MCQ with answer
#About Polynomial Function

1. What is the degree of the polynomial 3x^4 - 2x^2 + 5?
A. 2
B. 3
C. 4
D. 5
Answer: C. 4
*Explanation: The degree of a polynomial is determined by the highest power of the variable. In this case, the highest power is 4 (from the term 3x^4).

2. Which of the following is a polynomial function?
A. f(x) = 2x^3 + √x - 1
B. f(x) = 1/x + 3x^2
C. f(x) = 5x^2 - 7x + 2
D. f(x) = |x| + 4x
Answer: C. f(x) = 5x^2 - 7x + 2
*Explanation: Polynomial functions only allow for non-negative integer exponents on the variable. Option C fits this definition.

3. Which of the following is NOT a factor of the polynomial x^3 - 6x^2 + 11x - 6?
A. (x - 1)
B. (x - 2)
C. (x - 3)
D. (x + 1)
Answer: D. (x + 1)
*Explanation: You can use the Factor Theorem to check. The Factor Theorem states that (x - a) is a factor of a polynomial if and only if f(a) = 0.
• f(1) = 0, f(2) = 0, f(3) = 0, but f(-1) ≠ 0. Therefore, (x + 1) is not a factor.

4. What is the y-intercept of the polynomial function f(x) = 2x^3 - x^2 + 4?
A. (0, 2)
B. (0, -1)
C. (0, 4)
D. (0, 0)
Answer: C. (0, 4)
*Explanation: The y-intercept is the point where the graph crosses the y-axis. This occurs when x = 0. Substituting x = 0 into the function gives f(0) = 4.

5. What is the multiplicity of the root x = -2 for the polynomial function f(x) = (x + 2)^2(x - 1)?
A. 1
B. 2
C. 3
D. 4
Answer: B. 2
*Explanation: The multiplicity of a root is the number of times it appears as a factor. The factor (x + 2) appears twice, so the multiplicity of the root x = -2 is 2.

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🏆 1300 Mathematics Formulas

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EUEE ENGLISH Exam Focus Areas: Based on 1995-2016EC Exams (Ethiopia)

🟢Grammar Focus Areas

1. Tenses
2. Passive and Active Voices
3. Subject Verb Agreement
4. Adverbial Clauses and Related
A. Common Clauses
   ☞  Reason clauses
   ☞  Result clauses
   ☞  Contrast clauses
   ☞  Purpose clauses
   ☞  Relative clauses
   ☞  Time clauses
B. Other Transitional Words to:
   ☞  give emphasis
   ☞  focus attention on what follows
   ☞  give additional ideas
   ☞  give examples
   ☞  show sequence/order of events:
   ☞  show different ideas
5. Comparisons
6. As, like, as if, as though.. .
7.Conditional Clauses:
8.Regret/wish/unreal...
9.Quantifiers
   ☞  Each and Every
   ☞  No
   ☞  None
   ☞  Any and Some
   ☞  No one, Someone… 
   ☞  Little and A little
   ☞  A few, Few and others
10. Uses of Modal Verbs
   ☞  Obligation
   ☞  Absence of Obligation
   ☞  Possibility
   ☞  Deduction
   ☞  Ability
   ☞  Permission and Request
   ☞  Suggestion and Advice
11. Gerund, Infinitive & Participle
12. Parts of Speeches and Others
  ☞ Nouns, Pronouns, Verbs
  ☞ Adverbs, Adjectives, Articles
  ☞ Conjunctions, prepositions
  ☞ Word formations
  ☞ Use of had better, no sooner...
13. Questions and Related Areas
  ☞ Wh-word questions
  ☞ Tag questions
  ☞ Yes or No questions
  ☞ Indirect questions.. .
14. Verbs and their Types
A. Main Verbs:
   ☞  Action Verbs
   ☞  State Verbs
   ☞  Transitive Verbs
   ☞  Intransitive Verbs
B. Auxiliary Verbs:
   ☞  Verb to be
   ☞  Verb to have
   ☞  Verb to do
   ☞  Modal Verbs

15.Communicative Activities Focus Areas

  ☞  Advice
  ☞  Permission
  ☞  Request
  ☞  Opinion
  ☞  Agreement
  ☞  Telephoning
  ☞  Direction
  ☞  Shopping
  ☞  Help
  ☞  Greeting/Introduction
  ☞  Other contextual areas
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