Quantitative Reasoning Polynomials (Algebra) Test Online

Malik TahirLast Updated: October 2, 2025

Polynomials (Algebra) Test Online

Total Questions:	50
Time Allowed:	25 Minutes
Total Marks:	50
How to Attempt Test:	Please choose the right Option in MCQ-type question.
Test Helpful For:	Aptitude Test Forces Test Quantitative Reasoning Test Interview Questions Answer Recruitment Tests

Quantitative Reasoning Polynomials (Algebra) Practice Test

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1. Which of the following is a polynomial?
sin(x) + x
√x + 1
1/x + 2
3x² + 2x + 5

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2. If a polynomial p(x) is divided by (x - a), then the remainder is:
0
p(a)
p(-a)
a

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3. The graph of a quadratic polynomial is always:
A hyperbola
A straight line
A circle
A parabola

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4. Which of the following is the remainder when x³ - 4x² + 3x - 2 is divided by (x - 1)?
-4
-1
-2
-3

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5. If f(x) = 2x² + 3x - 5, then f(-2) =
-7
-3
5
-11

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6. Which of the following is a quadratic polynomial?
2x² + 3x + 5
x³ + x² + 1
4x + 7
x⁴ + 2

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7. Which of the following is a monomial?
2x² + 5
x² + y²
4x + 3
7x³

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8. The number of zeros of a cubic polynomial is:
1
Infinite
2
3

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9. The zero of the polynomial x + 7 is:
0
-7
1
7

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10. What is the coefficient of x³ in the polynomial 5x³ - 2x² + 7?
5
-2
7
3

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11. Which of the following is a factor of x² + 2x + 1?
(x - 1)
(x + 2)
None
(x + 1)

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12. The constant term in the expansion of (x + 2)(x - 3) is:
6
-5
-6
5

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13. The degree of the polynomial 7x⁵ - 4x³ + 2 is:
5
3
2
4

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14. Which of the following is a linear polynomial?
x³ + x²
7x + 4
2x² - 3
x² + 2x + 3

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15. The zero of the polynomial 2x + 3 is:
-2/3
-3/2
3/2
2/3

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16. The degree of x⁵ + 2x⁴ + 7x³ - 9x² + 4x - 11 is:
4
5
7
6

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17. The zeros of the polynomial x² + 4x + 4 are:
4, -4
2, -2
-2, -2
-4, 0

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18. Which of the following is NOT a polynomial?
x⁻² + 1
3x - 1
4x² + 7
x³/2 + 5

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19. What is the remainder when x² + 3x + 2 is divided by (x + 1)?
1
3
0
2

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20. The degree of the polynomial x⁴ + x³ + x² + x + 1 is:
2
1
4
3

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21. Which of the following is a binomial?
All of these
7x³ - 2
3x² + 2x
4x + 5y

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22. The coefficient of x² in (x + 2)(x + 3) is:
6
2
1
5

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23. If p(x) = x³ - 27, then p(3) =
0
-27
81
27

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24. The number of terms in (x + y)³ is:
2
4
5
3

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25. The product of the zeros of the polynomial x² - 7x + 10 is:
7
10
-7
-10

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26. If p(x) = x² - 9, then the zeros are:
3 and 9
-3 and 0
±3
±9

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27. A polynomial of degree 1 is also called:
Linear
Quadratic
Monomial
Cubic

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28. If one zero of x² - 3x - 10 is 5, the other zero is:
2
10
-2
-5

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29. The graph of a linear polynomial is always:
A circle
A hyperbola
A straight line
A parabola

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30. The degree of a polynomial with a single variable is determined by:
Highest coefficient
Constant term
Number of terms
Highest power of the variable

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31. If p(x) = x² - 2x - 8, the zeros are:
8 and -1
2 and 8
-4 and 2
4 and -2

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32. If the polynomial x² - kx + 6 has zeros 2 and 3, then k =
6
5
-5
-6

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33. If f(x) = x² - 4, then f(2) equals:
0
8
4
-4

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34. What is the leading coefficient of 5x⁴ - 3x² + 7?
-3
5
7
4

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35. The polynomial (x - 2)(x + 2) is equal to:
x² + 2x - 4
x² + 4
x² - 2x + 4
x² - 4

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36. The remainder when x³ + 2x² - 3x + 4 is divided by (x + 1) is:
4
2
3
-2

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37. The factorization of x² - 16 is:
(x² - 4)(x² + 4)
(x - 8)(x + 8)
(x - 2)(x + 2)
(x - 4)(x + 4)

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38. If (x - 1) is a factor of polynomial x² + kx - 2, then the value of k is:
-1
1
-2
2

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39. Which of the following is a cubic polynomial?
x⁴ - 1
x² + 5x + 6
x³ + 2x² + x
4x + 7

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40. Which of the following is not a factor of x² - 5x + 6?
(x - 2)
(x - 6)
Both A and B
(x - 3)

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41. The expression (x - 1)³ expands to:
x³ - 2x² + 3x - 1
x³ + 3x² + 3x + 1
x³ - 3x² + 3x - 1
x³ - x² + x - 1

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42. A quadratic polynomial with zeros 2 and 3 is:
x² - 6x + 5
x² + 5x + 6
x² - 2x + 3
x² - 5x + 6

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43. The degree of the polynomial (x² - 1)(x³ + x) is:
6
3
2
5

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44. The degree of constant polynomial 9 is:
9
Undefined
1
0

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45. Which of the following polynomials is divisible by (x - 1)?
x² - x
x² + 2x + 1
x³ - 1
All of these

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46. The standard form of polynomial means:
All terms must have constants
Terms are written in ascending order of powers
Coefficients are all positive
Terms are written in descending order of powers

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47. Which of the following is an identity?
(a + b)² = a² + 2ab + b²
a² + b² = (a + b)²
(a - b)² = a² + b² - 2ab
Both A and C

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48. The sum of the zeros of the polynomial x² - 7x + 10 is:
7
10
-10
-7

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49. If one zero of x² + 7x + 10 is -2, the other is:
10
5
-5
2

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50. The number of terms in the polynomial 3x³ + 2x² - 7x + 4 is:
5
2
4
3

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Malik TahirLast Updated: October 2, 2025

Polynomials (Algebra) Test Online

Quantitative Reasoning Polynomials (Algebra) Practice Test

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