MCQ Questions Chapter 2 Polynomials Class 9 Mathematics

Polynomials Class 9 MCQ with Answers is accessible in PDF format to assist students with reiterating the recently studied lessons before CBSE Board Exam. Thus, MCQ on Polynomials Class 9 is prepared by our expert teachers who have long periods of teaching experience.

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Check the below MCQ Questions Chapter 2 Polynomials Class 9 Mathematics available with PDF free download. MCQ Questions for Class 9 Mathematics with Answers were prepared based on the latest syllabus and examination pattern issued by CBSE, NCERT and KVS. Our teachers have provided below Polynomials Class 9 MCQ Questions with answers which will help students to revise and get more marks in exams

Polynomials Class 9 Mathematics MCQ Questions with Answers

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Polynomials Class 9 MCQ PDF downloads have been gathered for students to rehearse. Students can prepare this Class 9 Polynomials MCQ PDF. Each question has four choices with answers. Firstly, Solve all these Questions and check your answer with the right answer. If your answers do not match with the right answer, Don’t worry try again because You need to prepare daily to score higher marks in the Class 9 Mathematics Exam.

Question. The common quantity that must be added to each term of a² : b² to make it equal to a : b is
(a) ab
(b) a + b
(c) a – b
(d) a/b

Question. Number of terms in the polynomial 4x³ + 3x² – 6x + 7 is
(a) 1
(b) 2
(c) 3
(d) 4

Question. If p(x) = x²+ kx + 6, then for what value of k, p(3) = 0 ?
(a) 2
(b) –5
(c) 3
(d) – 1

Question. If p(x) = x + 3, then p(x) + p(– x) is equal to
(a) 3
(b) 2x
(c) 0
(d) 6

Question. Which of the following polynomials has – 5 as its zero?
(a) (x – 5)
(b) x²– 25
(c) x²– 5x
(d) x²+ 5

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

Question. If a / b + b / a = 1, then a³ + b³ equals
(a) 1
(b) – 1
(c) 1/2
(d) 0

Question. Factors of (42 – x – x²) are
(a) (x – 7), (x – 6)
(b) (x + 7), (x – 6)
(c) (x + 7), (6 – x)
(d) (x – 7), (x + 6)

Question. A cubic polynomial cannot have more than ______ zeroes.
(a) 0
(b) 1
(c) 2
(d) 3

Question. Find the value of x + y + z, if x²+ y² + z² = 18 and xy + yz + zx = 9.
(a) 9
(b) 3
(c) 6
(d) 8

Question. Given that 100² = a², which expression gives the value of the expression 103 × 108 ?
(a) a²+ 11a + 24
(b) a²+ 24a + 11
(c) a²+ 24a + 24
(d) a²+ 11a + 11

Question. Which of the following is a polynomial in one variable ?
(a) 3 – x² + x
(b) √3x+ 4
(c) x³ + y³ + 7
(d) x + 1/x

Question. Which of these identities can be used to find the value of the expression 97 × 103 ?
(a) (x – y)² = x² – 2y + y²
(b) (x + y)² = x²+ 2y + y²
(c) (x + y + z)² = x²+ y²+ z² + 2xy + 2yz + 2z
(d) (x – y)(x + y)= x²– y²

Question. Consider the polynomial in z p(z) = z⁴ – 2z³ + 3.What is the value of the polynomial at z = –1 ?
(a) 2
(b) 3
(c) 5
(d) 6

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

Question. Which of these identities can be used to factorize the expression 4x² – 19x + 16?
(a) (x – a)² = x²– 2a + a²
(b) (x + a)² = x²+ 2a + a²
(c) (x – a)(x – b)= x²–(a + b)x + ab
(d) (x – a)(x + a)= x² – a²

Question. One of the factors of (16y² – 1) + (1 – 4y)² is :
(a) (4 + y)
(b) (4 – y)
(c) (4y + 1)
(d) 8y

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

Question. a² + b² + c² – ab – bc – ca equals :
(a) (a + b + c)²
(b) (a – b – c)²
(c) (a – b + c)²
(d) 1/2[(a – b)² + (b – c)² + (c – a)²]

Question. Product of (x – 1/x), (x + 1/x) + (x² – 1/x² ) is:
(a) x⁴ + 1/x⁴
(b) x³ + 1/x³ – 2
(c) x⁴ – 1/x⁴
(d) x² – 1/x² + 2

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

Question. Degree of polynomial 2x³ + √3x + 1/3x⁵ − 7 is
(a) 1
(b) 3
(c) 0
(d) 5

Question. If the volume of a cuboid is x³ + x²– 9x – 9, then its possible dimensions are
(a) x + 1, x², x + 3
(b) x + 1, x – 3, x + 3
(c) 3, x², 9x
(d) 3, 3, 3

Question. If p(x) = x³ + 3x² – 2x + 4, then find the value of [p(2) + p(–2) – p(0)].
(a) 28
(b) 14
(c) 12
(d) 16

Question. The value of the polynomial 5x – 4x² + 3, when x = – 1 is
(a) – 6
(b) 6
(c) 2
(d) – 2

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

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

Question. If f(x) = x³ – 3x² + 4x + 50, then f(–3) =
(a) –16
(b) –12
(c) –20
(d) –10

Question. Which of the following is a cubic polynomial?
(a) 2x + √3 + x⁴
(b) – x – x²– 7x³
(c) 9
(d) 2 – 3x² – 9x

Question. Degree of the polynomial p(x) = (x + 2)(x – 2) is
(a) 2
(b) 1
(c) 0
(d) 3

Fill in the blanks:

Question. If (x + 2) is a factor of kx³– 13x + 6, then value of k is ______. 

Question. If p(x) = 5x – 4x² + 3, then p(0) is ______. 

Question. Degree of the polynomial x³ (2 – x³) is ______.

Question. Zeroes of the polynomial p(x) = x(x – 2) (x – 3) are ______, ______ and ______. 

Question. If (x – 1) is a factor of x³ – 13x² + kx – 20, then value of k is ______. 

Question. Coefficient of x in the expansion of (3x + 4)² is ______ .

True / False:

Question. Zero of a polynomial ax is zero.

Question. (a + b + c)² = a²+ b² + c² + ab + bc + ca.

Question. (x – 3) is a factor of 2x² – x – 15. 

Question. On factorisation x² – 6√2 x + 18 is equal to (x + 3√2 ).

Question. (1 + 5x)² is an example of trinomial.

Question. Value of 48³ – 30³ – 18³ = 77760.

Case Based MCQs

Read the following passage and answer the questions.
A class teacher decided to organise an educational trip for his class. He asked the students for their preferences, where they want to go. 1 / 12 th times the square of total number of students want to go to old age home, 7 / 12 th times the total number of students plan to visit historical monuments, while 15 students decide to teach children of orphanage home.

Question. Write the coefficient of x in the polynomial.
(a) −1/12
(b) 1/12
(c) 7/12
(d) −7/12

Question. Value of the polynomial at x = 2 is
(a) 170/12
(b) 182/12
(c) 190
(d) 33/2

Question. Which of the following polynomial represents the above situation, if x is the total number of students?
(a) 7/12x² + 1/12x + 15 
(b) 1/12 x² + 7/12x +15 
(c) 7x² + 12x + 15
(d) None of these

Question. Value of the polynomial at x = 1, is 
(a) 172
(b) 150
(c) 176/12
(d) 47/3

Question. The coefficient of x² in the above polynomial is
(a) 7/12
(b) − 1/12
(c) − 7/12
(d) 1/12

Read the following passage and answer the questions
On one day, principal of a particular school visited the classroom. Class teacher was teaching the concept of polynomial to students. He was very much impressed by her way of teaching. To check, whether the students also understand the concept taught by her or not, he asked various questions to students. Some of them are given below. Answer them.

Question. The number of zeroes of the polynomial x² + 4x + 2 is
(a) 1
(b) 2
(c) 3
(d) 4

Question. The polynomial of the type ax² + bx + c, a = 0 is called
(a) Linear polynomial
(b) Quadratic polynomial
(c) Cubic polynomial
(d) Biquadratic polynomial

Question. The value of k, if (x – 1) is a factor of 4×3 + 3x² – 4x + k, is
(a) 1
(b) –2
(c) –3
(d) 3

Question. Which one of the following is not a polynomial?
(a) 4x² + 2x – 1
(b) y+3/y
(c) x³ – 1
(d) y2 + 5y + 1

Question. If x + 2 is the factor of x3 – 2ax² + 16, then value of a is
(a) –7
(b) 1
(c) –1
(d) 7