Polynomials - MCQs

This set of multiple-choice questions is based on the topic Introduction to Polynomials. The questions cover key concepts such as types of polynomials (monomials, binomials, trinomials), polynomial expressions, zeroes of polynomials, the Factor Theorem, and essential algebraic identities. These MCQs are designed to test your understanding and application of fundamental ideas in polynomials, helping to strengthen your algebraic foundation.

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Maths

TRIGONOMETRIC FUNCTIONS-Exercise 3.2

Exercise • Jan 2026

Trigonometric Functions form a crucial foundation of higher mathematics and play a vital role in physics, engineering, astronomy, and real-life proble...

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Exercise
Maths

TRIGONOMETRIC FUNCTIONS-Exercise 3.1

Exercise • Jan 2026

Trigonometric Functions form a crucial foundation of higher mathematics and play a vital role in physics, engineering, astronomy, and real-life proble...

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Exercise

Polynomials

by Academia Aeternum

1. Which of the following is a polynomial?
2. What is the degree of the polynomial \(5x^3 + 4x^2 - 3x + 1\)?
3. Which of the following is a binomial?
4. What is the sum of the coefficients of the polynomial \(3x^2 + 5x – 7\)?
5. Which of the following is a polynomial of degree 2?
6. The coefficient of \(x^2\) in the polynomial \(x^3 + 4x^2 - 7x + 2\) is:
7. What is the degree of the polynomial \(2x^5 - 3x^4 + 4x^2 + 1\)?
8. Which of the following is a monomial?
9. The degree of the polynomial \(7x^4 - 3x^2 + 5x – 6\) is:
10. Which of the following polynomials is a perfect square trinomial?
11. Which of the following is a factor of \(x^2 – 4\)?
12. The product of two polynomials is always:
13. The roots of the polynomial \(x^2 - 5x + 6\) are:
14. Which of the following is a factor of \(x^2 – 9\)?
15. If \(x + 2\) is a factor of the polynomial \(x^2 + bx + c\), then the value of \(b\) is:
16. What is the sum of the roots of the polynomial \(x^2 - 5x + 6\)?
17. What is the product of the roots of the polynomial \(x^2 - 7x + 12\)?
18. Which of the following is the factorization of \(x^2 - 4x – 5\)?
19. Which of the following is a polynomial with three terms?
20. If the polynomial \(x^2 + 3x + 2\) is divided by \(x + 1\), the remainder is:
21. The factorization of \(x^2 – 16\) is:
22. The polynomial \(3x^2 - 2x + 1\) is:
23. What is the degree of the polynomial \(6x^4 - 3x + 2\)?
24. Which of the following is a constant polynomial?
25. What is the result of dividing \(x^2 – 9\) by \(x + 3\)?
26. Which of the following polynomials is a cubic polynomial?
27. If \(x – 3\) is a factor of \(x^2 + x – 6\), the other factor is:
28. What is the sum of the squares of the roots of \(x^2 - 6x + 9\)?
29. Which of the following is the factorization of \(x^2 + 3x – 10\)?
30. What is the value of the polynomial \(2x^2 + 3x – 4\) at \(x = 2\)?
31. The roots of the polynomial \(x^2 – 9\) are:
32. Which of the following is the factorization of \(x^2 + 6x + 9\)?
33. The polynomial \(2x^3 - x^2 + 5x – 3\) is of degree:
34. What is the result of \(3x^2 + 5x – 7\) when \(x = -1\)?
35. The polynomial \(x^2 - 4x + 3\) is a:
36. Which of the following is a factor of \(x^2 + 4x + 3\)?
37. Which of the following is a polynomial of degree 4?
38. What is the sum of the coefficients of the polynomial \(3x^3 - 2x^2 + 4x – 5\)?
39. The polynomial \(x^2 - 4x + 3\) can be factored as:
40. What is the degree of the polynomial \(x^5 - 3x^2 + 2x – 4\)?
41. Which of the following is the factorization of \(x^2 + 6x + 9\)?
42. If the sum of the roots of the quadratic polynomial \(x^2 - 4x + 3\) is 4, then the roots are:
43. The factorization of \(x^2 + 7x + 10\) is:
44. The polynomial \(x^3 - x^2 + 3x – 3\) can be factored as:
45. The value of \(x^2 - 2x + 5\) at \(x = 3\) is:
46. What is the product of the roots of the polynomial \(x^2 - 7x + 12\)?
47. The roots of the polynomial \(x^2 + 2x + 1\) are:
48. Which of the following polynomials has a degree of 5?
49. If x+4x + 4 is a factor of \(x^2 + 7x + 12\), the other factor is:
50. The polynomial \(x^2 - 3x – 4\) can be factored as:

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