### Mathematics Quadratic Equations MCQS Online Preparation Sample Paper Questions with Answer

MCQs on Mathematics Quadratic Equations test comprehension of equations such as ax² + bx + c = 0. These queries gauge problem-solving abilities, identification of roots, and interpretation of graphs. Nokryan.com supplies a variety of resources to aid in thorough preparation, providing study materials and assistance in mastering quadratic equations and related algebraic concepts. Using online platforms like Nokryan.com, students can improve their skills and confidence in addressing MCQs and other mathematical challenges.

1. If n is a non negative integer, then an xⁿ +…+a₁ x + a₀ is a

- Polynomial of degree 0
- Polynomial of degree 3
- Polynomial of degree 2
- Polynomial of degree n
**correct**

2. If a polynomial f (x) is divided by a linear divisor ax – b, the remainder is

- f(-b/a)
- f(b)
- f(-b)
- f(b/a)
**correct**

3. If a polynomial f (x) is divided by a linear divisor ax + b, the remainder is

- f(b/a)
- f(-b/a)
**correct** - f(-b)
- f(b)

4. If x³ + 3x² – 6x + 2 is divided by x + 2, then the remainder is

- -9
- -18
- 9
- 18
**correct**

5. If x² – 7x + a has a remainder 1 when divided by x + 1, then

- a = 0
- a = -7
**correct** - a = 7
- a = 1

6. An equation of the form ax²+bx + c = 0, a ≠ 0 is called the

- Cubic equation
- Quadratic equation
**correct** - Linear equation
- Polynomial of degree 4

7. If a polynomial f (x) is divided by a linear divisor x – a, the remainder is

- f (0)
- f (a)
**correct** - f (-a)
- af (a)

8. If a polynomial f (x) is divided by a linear divisor ax + 1, the remainder is

- f(1/a)
- f(-1/a)
**correct** - f(a)
- f(-a)

9. The solution of the quadratic equation x² + 5x – 6 = 0 is

- x = – 1, x = 6
- x = 1
- x = 1, x = – 6
**correct** - x = 6

10. If one solution of the equation x² + ax + 2 = 0 is x = 1, then

- a = -7
- a = 0
- a = – 3
**correct** - a = 7

11. If one root of an equation is – 1 + I, then other root is

- -1 – i
- None of these
- 1- i
- 1+ i
**correct**

12. The polynomial ax³+ bx² + 8 has degree

- a + b
- 8
- none of these
- 3
**correct**

13. IF x³ + ax² – a²x – a³ is divided by x + a, then the remainder is

- – a³
- a³
- 0
**correct** - 2a³

14. If x² + ax + b is divided by x + c, then the remainder is

- c² – ac + b
**correct** - c² + ac + b
- – c² – ac + b
- c² – ac – b

15. The degree of a polynomial in x is the

- Largest coefficient of x
- Highest power of x
**correct** - Smallest coefficient of x
- Lowest power of x

16. The degree of polynomial √ax⁵ + bx⁴ + cx³ = 5 is

- 5/2
- 5
**correct** - 1/2
- 2

17. If x – 2 is a factor of ax² – 12x + 4, then

- a = 5
**correct** - a = 0
- a = -7
- a = 7

18. 3x² + 2x + 1 is a

- Polynomial of degree 0
- Polynomial of degree 3
- Polynomial of degree 2
**correct** - Polynomial of degree 1

19. If a polynomial f (x) is divided by a linear divisor ax – 1, the remainder is

- f(1/a)
**correct** - f(-1/a)
- f(a)
- f(-a)

20. The quadratic formula is

- None of these
- x = – b ± √b² – 4ac/a
- x = – b ± √b² – 4ac/2a
**correct** - x = b ± √b² – 4ac/a

21. If a polynomial f (x) is divided by a linear divisor x + a, the remainder is

- f (0)
- f (a)
- f (-a)
**correct** - – af (a)

22. IF x³ – 2x² + 6 is divided by x – a, then the remainder is

- a² + 2a + 6
- a² – 2a + 6
- -a³ + 2a² – 6
- a³ – 2a² + 6
**correct**

23. x² + 4x + 4 is

- Equation
- none of these
- Polynomial
**correct** - Identity

24. IF x⁴ – 3x³ + 5x is divided by 3x + 1, then the remainder is

- 35/16
**correct** - 3
- -35/16
- -9

25. IF 9x⁵ – 5x² is divided by 3x + 1, then the remainder is

- 16/27
**correct** - None of these
- -27/16
- 27/16