# Unseen Passage

For Class 4 to Class 12

# Polynomials MCQ Class 9 Mathematics

Please refer to Chapter 2 Polynomials MCQ Class 9 Mathematics with answers below. These multiple-choice questions have been prepared based on the latest NCERT book for Class 9 Mathematics. Students should refer to MCQ Questions for Class 9 Mathematics with Answers to score more marks in Grade 9 Mathematics exams. Students should read the chapter Polynomials and then attempt the following objective questions.

## MCQ Questions Class 9 MathematicsChapter 2 Polynomials

The Polynomials MCQ Class 9 Mathematics provided below covers all important topics given in this chapter. These MCQs will help you to properly prepare for exams.

Question. One of the zeroes of the polynomial 2x2 + 7x – 4 is
(a) 2
(b) 1/2
(c) − 1/2
(d) −2

B

Question. √2 is a polynomial of degree
(a) 2
(b) 0
(c) 1
(d) 1/2

B

Question. Degree of the polynomial 4x4+ 0x3+ 0x5+ 5x + 7 is
(a) 4
(b) 5
(c) 3
(d) 7

A

Question. The factorization of 4x2+ 8x + 3 is
(a) (x + 1) (x + 3)
(b) (2x + 1) (2x + 3)
(c) (2x + 2) (2x + 5)
(d) (2x –1) (2x –3)

B

Question. Zero of the zero polynomial is
(a) 0
(b) 1
(c) any real number
(d) not defined

C

Question. If x/y + y/x =−1 ( x, y ≠ 0) , the value of x3– y3 is :
(a) 1
(b) −1
(c) 0
(d) 1/2

C

Question. The value of 2492 – 2482 is :
(a) 12
(b) 477
(c) 487
(d) 497

D

Question. Which one of the following is a polynomial ?
(a) x2/2 − 2/x2
(b) √2x − 1
(c) x2 + 3x3/2/√x
(d) x − 1/ x + 1

C

Question. If a + b + c = 0, then a3+ b3+ c3 is equal to
(a) 0
(b) abc
(c) 3abc
(d) 2abc

C

Question. If p (x) = x2 − 2√2x + 1, then p(2√2) is equal to
(a) 0
(b) 1
(c) 4√2
(d) 8√2 + 1

B

Question. The coefficient of x in the expansion of (x + 3)3 is :
(a) 1
(b) 9
(c) 18
(d) 27

D

Question. The coefficient of x in the product (x – 1)(1 – 2x) is :
(a) 2
(b) – 1
(c) – 2
(d) 1

B

Question. The degree of the polynomial 2 – y2 – y3 + 2y7 is :
(a) 2
(b) 7
(c) 0
(d) 3

B

Question. The degree of the polynomial p(x) + (x – 7)3 – xis :
(a) 3
(b) 2
(c) 1
(d) 0

B

Question. A polynomial p(x) of degree n is such that p(a) = 0 and p(–b) = 0. Which of the following is the factored form of the polynomial?
(a) (x – a)(x + b) g(x); where g(x) is a polynomial of degree n – 2.
(b) (x – a)(x + b) g(x); where g(x) is a polynomial of degree n
(c) (x + a)(x + b) g(x); where g(x) is a polynomial of degree n – 2.
(d) (x + a)(x + b) g(x); where g(x) is a polynomial of degree n.

A

Question. Consider the polynomials shown :
x3 + 2x, 4x, 2x2 – 3x + 5 =0 , 3/2x – 1/2
Which of the following tables correctly classifies the given polynomials as zero, linear, quadratic and
cubic polynomials?

A

Question. Which of the following is a quadratic polynomial in one variable ?
(a) √2x3 + 5
(b) 2x2 + 2x-2
(c) x2
(d) 2x2 + y2

C

Question. Which of the following is a trinomial in x ?
(a) x3+ 1
(b) x3+ x2 + x
(c) x√x + √x + 1
(d) x3+ 2x

B

Question. The polynomial (x – a) is a factor of the polynomial x4 – 2x+ kx + k, where k is a constant. Which of these is the correct relation between a and k ?
(a) k = a2(2 – a2)/1 + a
(b) k = a2(2 + a2)/1 + a
(c) k = a2(2 + a2)/1 – a
(d) k = a2(2 – a2)/1 – a

A

Question. Which of these is a factor of the polynomial p(x) = x+ 4x + 5 ?
(a) (x – 1)
(b) (x + 1)
(c) (x – 2)
(d) (x + 2)

B

Question. If p(x) = 2 + x/2 + x2 – x3/3 , then p(– 1) is :
(a) 15/6
(b) 17/6
(c) 1/6
(d) 13/6

B

Question. Given that m + 2, where m is a positive integer, is a zero of the polynomial q(x) = x– mx – 6. Which of these is the value of m ?
(a) 1
(b) 2
(c) 3
(d) 4

A

Question. Zero of the polynomial p(x), where p(x) = ax, a≠0 is :
(a) 1
(b) a
(c) 0
(d) 1/a

C

Question. (1 + 3x)3 is an example of :
(a) monomial
(b) binomial
(c) trinomial
(d) none of these

D

Question. Which of the following is a polynomial?
(a) x2/3 – 5/x2
(b) 2x+1/3x+4
(c) √5x + 7
(d) x+ 3x5/2/√x

D

Question. Match the columns

(a) 1 (c); 2 (e); 3 (d); 4 (a); 5 (b)
(b) 1 (d); 2 (e); 3 (a); 4 (c); 5 (b)
(c) 1 (e); 2 (d); 3 (b); 4 (c); 5 (a)
(d) 1 (b); 2 (e); 3 (a); 4 (c); 5 (d)

B

Case based MCQs

Read the following text and answer the following questions on the basis of the same:
Beti Bachao, Beti Padhao (BBBP) is a personal campaign of the Government of India that aims to generate awareness and improve the efficiency of welfare services intended for girls.

In a school, a group of (x + y) teachers, (x2 + y2) girls and (x3 + y3) boys organised a campaign on Beti Bachao, Beti Padhao.

Question. (x + y)3 =
(a) x3– y3 – 3xy(x + y)
(b) x3+ y3 + 3xy(x + y)
(c) x3+ y3 – 3xy(x – y)
(d) x3– y3 + 3xy(x – y)

B

Question. If in the group, there are 10 teachers and 58 girls, then what is the number of boys?
(a) 300
(b) 360
(c) 350
(d) 370

D

Question. Which mathematical concept is used here?
(a) Linear equations
(b) Triangles
(c) Polynomials
(d) Area

C

Question. Using part (d), find (x2– y2) if x – y = 23.
(a) 200
(b) 330
(c) 120
(d) 230

D

Question. Which is the correct identity?
(a) (a + b)2 = a2 + b2 – 2ab
(b) (a + b)2 = a2+ b2 + 2ab
(c) (a + b)2 = a2– b2 – 2ab
(d) All are correct.

B

Smriti went to a orphanage and gave a cuboidal gift whose volume was given by a polynomial 4x+ x– 11x + 2r.

Question. What could be the breadth and height of the cuboid?
(a) (x + 2) and (x – 1)
(b) (x – 2) and (x + 1)
(c) (x + 2) and (x + 1)
(d) (x – 2) and (x – 1)

A

Question. If length of the cuboid is (4x – 3), then value of r is
(a) 11
(b) 4
(c) 3
(d) 2

C

Question. Cost of the gift given by Smriti at the rate of 5 per cubic units will be
(a) 180
(b) 90
(c) 900
(d) 450

D

Question. Degree of the polynomial is
(a) 4
(b) 3
(c) 2
(d) 1

B

Question. If x = 3, then dimensions of the cuboid will be
(a) 9, 1 and 4
(b) 9, 5 and 2
(c) 9, 5 and 4
(d) 9, 1 and 2