(IGP) IAS Pre Paper - 2: GS - Basic Numeracy - Basic Algebra (MCQ -22)

1. Which of the following expression is a polynomial?

2. Which of the following expression is a polynomial in one variable?
(a) 3x² –2y + 3
(b) –x² + 6x – 5 = 0
(c) x² + y² = –3
(d) 2x² – 2y–1 = 0

3. Which of the following expression is a polynomial in two variable?
(a) x² – 2xy + y² – x + y
(b) x³ + y³ + z³ –1
(c) x² + 3x + 2
(d) x² – 2x² + 3x + 5

4. The degree of the polynomial 2x³ – 5x² + x – 3 is
(a) 2
(b) 3
(c) 1
(d) 0

5. The degree of the polynomial 3x - Ö3 is
(a) 1
(b) 2
(c) 0
(d) 4

6. The degree of the polynomial 7 is
(a) 1
(b) 0
(c) 3
(d) 2

7. Which of the following is a linear polynomial?
(a) x³ – x² + 1
(b) x² – 2x + 1
(c) 2x – 2
(d) x⁴ – 2x + 3x² – x

8. Which of the following is a quadratic polynomial?
(a) x² – 7x + 8
(b) x – 1
(c) 3x + 5
 (d) 2x³ – x² + x – 1

9. Which of the following is a cubic polynomial?
(a) x⁴ – 3x³– 2x² + x – 1
(b) 3x³ – 2x² + 1
(c) x⁴– 2x²+ 1
d) 3x + 9

10. Which of the following expression is a binomial in 2 variables?
(a) 3x + 5
(b) 2x – 3y
(c) 3y – 2
(d) 7x + 8

11. Which of the following expression is amonomial?
(a) x
(b) –y²
(c) 2x3
(d) All the three

13. Which of the following is a root of the polynomial f(x) = x³ – 2x² – x + 2?
(a) x = –2
(b) x = 1
(c) x = 3
(d) x = –3

14. If x = 2 is a root of the polynomial f (x) = 5x – 3x² + kx – 10, find the value of k.
(a) – 9
(b) 3
(c) 9
(d) – 3

15. If x = 1 and –1 are the roots of the polynomial f(x) = 22 + x² – ax + b. Find the values of a and b.
(a) 2, – 2
(b) – 2, – 1
(c) 2, – 1
(d) 1, – 2

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