### Maths MCQ Class IX Ch-14 | Statistics

Mathematics  MCQ | Class 09 | Chapter 14 STATISTICS Multiple Choice Questions (MCQ) MCQ Based on the Data. MCQ  Based on the Mean of Data. MCQ Based on the Median. MCQ Based on the Mode. 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 First of all students should Learn and write all basic points and Formulas related to the Chapter 14 Statistics. Start solving  the NCERT Problems with examples. Solve the important assignments on the Chapter 14 Class IX. Then start solving the following MCQ. MCQ |Chapter 14 | Statistics | Class IX

Mathematics

## MCQ | Class 09 | Chapter 2Polynomials

Multiple Choice Questions (MCQ)

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

### 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

• 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 IXPOLYNOMIALS

Q1) x2 - 2x + 1 is a polynomial in:

a. One Variable

b. Two Variables

c. Three variable

d. None of the above

Q2) Find the value of 525² – 475².

(a) 100
(b) 10000
(c) 50000
(d) 100000

Q3) The coefficient of x2 in 3x3 + 2x2 – x + 1 is:

a. 1

b. 2

c. 3

d. -1

Q4) A binomial of degree 20 in the following is:

a. 20x + 1

b. x/20 + 1

c. x20 +1

d. x2 + 20

Q5) One of the factors of (1 + 3y)² + (9y² – 1) is

(a) 1 – 3y
(b) 3 – y
(c) 3y + 1
(d) y – 3

Q6) The degree of 4x3 - 12x2 + 3x + 9 is

a. 0

b. 1

c. 2

d. 3

Q7) One of the factors of (x³ – 1) – (x – 1) is

(a) x² + 1
(b) x² – 1
(c) x – 1
(d) x + 4

Q8) x2 – x is ________ polynomial.

a. Linear

c. Cubic

d. None of the above

Q9) If x – 2 is a factor of 5x² – kx – 18, then find the value of k.

(a) -1
(b) 1
(c) 0
(d) 5

Q10) x – x3 is a ________ polynomial.

a. Linear

c. Cubic

d. None of the above

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

(a) 12
(b) 5
(c) -8
(d) 8

Q12) 1+3x is a _________ polynomial.

a. Linear

c. Cubic

d. None of the above

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

Q14) The value of f(x) = 5x − 4x2 + 3 when x = -1, is:

a. 3

b. -12

c. -6

d. 6

Q15) The value of p(t) = 2 + t + 2t2 − t3 when t = 0 is

a. 2

b. 1

c. 4

d. 0

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

(a) -1
(b) 1
(c) 0
(d) 2

Q17) The zero of the polynomial f(x) = 2x+7 is

a. 2/7

b. -2/7

c. 7/2

d. -7/2

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

(a) (4 + a)
(b) (4 – y)
(c) (4y + 1)
(d) 8y

Q19) What is the degree of the polynomial √3?

a. 0

b. 1

c. 1/2

d. 2

Q20) If the area of the rectangle is 4x² + 4x – 3, then find its possible dimensions.

(a) 2x – 3, 2x + 1
(b) 2x – 1, 2x + 3
(c) 3x + 1, 2x – 3
(d) 3x – 1, 2x + 3

Q21)  The degree of the constant polynomial is

a) 0

b) 1

c) 2

d) 3

Q22) For what value of b, if the polynomial x³ – 3x² + bx – 6 is divisible by x – 3?

a) 1
b) 2
c) 3
d) -3

Q23) One of the linear factors of 3x2 + 8x + 5 is

a) (x + 1)

b) (x - 2)

c) (x + 2)

d) (x - 4)

Q24) The coefficient of x in 7x2 + 6x - 2 is

a) 2

b) 6

c) -2

d) 7

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

a) 7x + 3

b) 2x2  + x - 1

c) x + 3x3 - 9

d) None of the above

Q26) Find the value of 72 - 52.

a) 22

b) 23

c) 24

d) 25

Q27) If x + 1 = 4, then the value of x² + 1

a) 8
b) 14
c) 16
d) 20

Q28) If x2 + kx + 6 = (x + 2)(x + 3) for all k, find the value of k.

a) -1

b) 1

c) 3

d) 5

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

a) 0
b) -1
c) 1
d) 2

Q30) which of the following is a constant polynomial?

a) 4x+1

b) 3

c) 2x2

d) 6x+3

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

a) abc
b) -3abc
c) 0
d) 3abc

Q32) x2 - 2x + 1 is a polynomial in:

a. One Variable
b. Two Variables
c. Three variable
d. None of the above

Q33) The degree of 4x3 -12x2 + 3x + 9 is

a. 0
b. 1
c. 2
d. 3

Q34) The value of p(t) = 2 + t + 2t2 − t3 when t = 0 is

a. 2
b. 1
c. 4
d. 0

Q35) Degree of the polynomial 7x5 + 8x2 – 5x + 3 is:

a) 1
b) 3
c) 2
d) 5

Q36) The value of the polynomial 7x4 + 3x2 – 4, when x = – 2 is:

a) 100
b) 110
c) 120
d) 130

Q37) The value of 992 – 982 is:

a) 1
b) 197
c) 187
d) 207

Q38) The factorization of 6x2 + 11x + 3 is:

a) (3x + 1) (2x + 3)
b) (x + 1) (2x + 3)
c) (x + 3) (2x + 1)
d) (3x + 3) (x + 1)

Q39) If y97 + 97 is divided by y + 1, the remainder is:

a) 0
b) 1
c) 95
d) 96

Q40) What is the degree of a zero polynomial?

a) 0
b) 1
c) Any natural number
d) Not defined

Q41) The zero of the polynomial p(x) = -9x + 9 is:

a) 0
b) -9
c) 1
d) -1