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### Maths MCQ Class IX Ch-2 | Polynomials

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__Mathematics__

## MCQ | Class 09 | Chapter 2

__Polynomials__

**MCQ Based on the Polynomials and different types of polynomials.**

**MCQ Based on the Polynomials and different types of polynomials.****MCQ Based on the Remainder and Factor Theorem**

**MCQ Based on the Remainder and Factor Theorem****MCQ Based on the Factors of a Polynomials and algebraic identities.**

**MCQ Based on the Factors of a Polynomials and algebraic identities.**__Features__

__Features__

**In the MCQ given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations.****Solution Hints are also given to some difficult problems.****Each MCQ contains four options from which one option is correct.**

__Action Plan__

__Action Plan__

**First of all students should Learn and write all basic points and Formulas related to the Chapter 2 Polynomials.****Start solving the NCERT Problems with examples.****Solve the important assignments on the Chapter 2 Class XI.****Then start solving the following MCQ.**

# MCQ | CHAPTER - 2 | CLASS IX

POLYNOMIALS

Q1) **x ^{2 }- 2x + 1 is a
polynomial in:**

a. One Variable

b. Two Variables

c. Three
variable

d. None of the
above

**Answer:**a

(a) 100

(b) 10000

(c) 50000

(d) 100000

**The coefficient of x**

^{2}in 3x^{3 }+ 2x^{2 }– x + 1 is:a. 1

b. 2

c. 3

d. -1

**Answer:**b

**A binomial of degree 20 in the following is:**

a. 20x + 1

b. x/20 + 1

c. x^{20} +1

d. x^{2 }+ 20

**Answer:**c

(a) 1 – 3y

(b) 3 – y

(c) 3y + 1

(d) y – 3

**The degree of 4x**

^{3 }- 12x^{2 }+ 3x + 9 isa. 0

b. 1

c. 2

d. 3

**Answer:**d

(a) x² + 1

(b) x² – 1

(c) x – 1

(d) x + 4

**x**

^{2}– x is ________ polynomial.a. Linear

b. Quadratic

c. Cubic

d. None of the
above

**Answer:**b

(a) -1

(b) 1

(c) 0

(d) 5

**x – x**

^{3}is a ________ polynomial.a. Linear

b. Quadratic

c. Cubic

d. None of the
above

**Answer:** c

Q11) Find the coefficient of x² in (3x² – 5) (4 + 4x²).

(a) 12

(b) 5

(c) -8

(d) 8

**1+3x is a _________ polynomial.**

a. Linear

b. Quadratic

c. Cubic

d. None of the
above

**Answer:** a

Q13) Find the value of p for which x + p is a factor of x² + px + 3 – p.

(a) 1

(b) -1

(c) 3

(d) -3

**The value of f(x) = 5x − 4x**

^{2 }+ 3 when x = -1, is:a. 3

b. -12

c. -6

d. 6

**Answer:** c

Q15) **The value of p(t) = 2 + t + 2t ^{2
}− t^{3} when t = 0 is**

a. 2

b. 1

c. 4

d. 0

**Answer:** a

Q16) Find the remainder on dividing 5y³ – 2y² – 7y + 1 by y.

(a) -1

(b) 1

(c) 0

(d) 2

**The zero of the polynomial f(x) = 2x+7 is**

a. 2/7

b. -2/7

c. 7/2

d. -7/2

**Answer:** d

Q18) One of the factors of (16y² – 1) + (1 – 4y)²

(a) (4 + a)

(b) (4 – y)

(c) (4y + 1)

(d) 8y

a. 0

b. 1

c. 1/2

d. 2

(a) 2x – 3, 2x + 1

(b) 2x – 1, 2x + 3

(c) 3x + 1, 2x – 3

(d) 3x – 1, 2x + 3

a) 0

b) 1

c) 2

d) 3

a) 1

b) 2

c) 3

d) -3

^{2 }+ 8x + 5 is

a) (x + 1)

b) (x - 2)

c) (x + 2)

d) (x - 4)

Answer: a

Q24) The coefficient
of x in 7x^{2 }+ 6x - 2 is

a) 2

b) 6

c) -2

d) 7

Answer: b

Q25) Which of the following is an example of the quadratic polynomial?

a) 7x + 3

b) 2x^{2 }+ x - 1

c) x + 3x^{3 }-
9

d) None of the above

Answer: b

Q26) Find the value
of 7^{2 }- 5^{2}.

a) 22

b) 23

c) 24

d) 25

Answer: c

Q27) If x +

a) 8

b) 14

c) 16

d) 20

Answer b

^{2 }+ kx + 6 = (x + 2)(x + 3) for all k, find the value of k.

a) -1

b) 1

c) 3

d) 5

Answer: d

Q 29) What is remainder when x³ – 2x² + x + 1 is divided by x – 1?

a) 0

b) -1

c) 1

d) 2

a) 4x+1

b) 3

c) 2x^{2}

d) 6x+3

Answer: b

Q31) If a + b + c = 0, then the value of a³ + b³ + c³

a) abc

b) -3abc

c) 0

d) 3abc

**x**

^{2 }- 2x + 1 is a polynomial in:
a. One Variable

b. Two Variables

c. Three variable

d. None of the above

**The degree of 4x**

^{3 }-12x^{2 }+ 3x + 9 is
a. 0

b. 1

c. 2

d. 3

**The value of p(t) = 2 + t + 2t**

^{2 }− t^{3}when t = 0 is
a. 2

b. 1

c. 4

d. 0

^{5}+ 8x

^{2}– 5x + 3 is:

a) 1

b) 3

c) 2

d) 5

^{4}+ 3x

^{2}– 4, when x = – 2 is:

a) 100

b) 110

c) 120

d) 130

^{2}– 98

^{2}is:

a) 1

b) 197

c) 187

d) 207

^{2}+ 11x + 3 is:

a) (3x + 1) (2x + 3)

b) (x + 1) (2x + 3)

c) (x + 3) (2x + 1)

d) (3x + 3) (x + 1)

^{97}+ 97 is divided by y + 1, the remainder is:

a) 0

b) 1

c) 95

d) 96

a) 0

b) 1

c) Any natural number

d) Not defined

a) 0

b) -9

c) 1

d) -1

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