Class 9 Maths MCQs -Chapter 2 Polynomial with Solutions

Class 9 Maths MCQs Polynomial with Solutions are created for the purpose of helping the class 10 students for the preparation of Term 1 CBSE Board exam 2021. The practice of these MCQs are required to every students because the pattern of the CBSE Board exam has changed and all the questions in the question paper are of MCQs types . All the questions of chapter 2 Polynomial are selected here as per the CBSE sample paper of maths published by CBSE.The solutions of these MCQs of the chapter Polynomial are created here as per the CBSE norms and explained here in easiest way so every students can understand the solutions.

Class 9 Maths MCQs -Chapter 2 Polynomial with Solutions

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Q1. The value of the polynomial P(x) = 5x³ – 3x² + 7x – 10,when x = -1 is:

(a) 7 (b) 17 (c) -18 (d) -25

Ans. The given polynomial P(x) =5x³ – 3x² + 7x – 10

The value of the polynomial when x =-1

P(-1) = 5(-1)³ -3(-1)² +7(-1) -10 = -5 -3 -7 -10 =-25

Q2.One of the zeroes of the polynomial P(x) = x² – 1 are :

(a) -1 (b) -2 (c) 0 (d) -3

Ans. (a) -1

The given polynomial is P(x) = x² – 1

P(x) = x² – 1 = 0

(x +1)(x -1) = 0

x = -1 and x = 1

Q3.The product of ( x + 1/x)(x -1/x)(x² + 1/x²) is :

(a) (x – 1/x)³ (b) x + 1/x³ (c) x⁴-1/ x⁴(d) x⁴+ 1/ x⁴

Ans. The given expression is

(x + 1/x)(x -1/x)(x² + 1/x²)

= (x² – 1/x²)(x²+1/x²) [i.e a² -b² = (a +b)(a – b)]

= ( x⁴-1/ x⁴) [ i.e a² – b² = (a + b)( a – b)]

Q4.If x/y + y/x = -1 (x,y ≠ 0), then the value of x³ – y³ is

(a) 1 (b) (x -y)(x² – y² +1) (c) 0 (d) -1/2

Ans.(c) 0

The given equation is

x/y + y/x = -1

(x² + y²)/xy = -1

x² + y² = -xy….(i)

Cubing both sides

The value of x³ – y³ = (x -y)(x² +y² + xy)

Putting the value from equation (i)

x³ – y³ = ( x – y)( -xy +xy) =0

Q5. The value of 625² – 575² is

(a) 50000 (b)30000 (c)60000 (d) 40000

Ans.

625² – 575² = (625 + 575)(625 – 575) = 1200 × 50 =60000

Q6. If x² + kx + 6 = ( x +1)( x – 3),then value of k is

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

Ans. The given equation is

x² + kx + 6 = (x +2)( x +3)

x² + kx + 6 = x² + (2+3)x + 2×3 = x² + 5x +6

On comparing LHS and RHS

k = 5

Q7. The coefficient of x³ in ( 2x² + 2x)(5x³ – 9x²) is:

(a) -15 (b) -18 (c) 27 (d) -28

Ans. (2x² + 2x)(5x³ -9x²) for getting the coefficient of x³,multiplying 2x and -9x² i.e 2x×-9x² = -18x³

Hence the coefficient of x³ is -18

Q8. Find the remainder when the polynomial 3x³ – 8x² + 17x + 4 is divided by x:

(a) 2 (b) -4 (c) 4 (d) 0

Ans.(c) 4

The given polynomial is 3x³ – 8x² + 17x + 4

Putting the value x = 0

3(0)³ – 8(0)² +17(0) + 4 = 4

Q9.If 2x + y + 3z = 0, then the value of 8x³ + y³ + 27z³ is :

(a) 18xyz (b) -18xyz (c) 36xyz (d) -36xyz

Ans.(a) 18xyz

The given equation is

2x + y + 3x = 0

Applying the identity

a³ + b³ +c³ – 3abc = (a + b +c)(a² + b² + c² – ab – bc -ac)

(2x)³ + y³ + (3z)³ – 3×2x×3z = ( 2x + y +3z)(4x² + y² + 9z² -2xy – 3yz – 6xz)

Putting the value of 2x + y +3z = 0

8x³ + y³ + 27z³ = 0

Q10. If area of the rectangle is 4x² + 4x – 3,then its possible diensions are :

(a) 2x +1, 2x +3 (b) 3x -1, 2x +1 (c) 2x -3,2x +5 (d) 2x +3,2x -1

Ans.

4x² + 4x – 3

=4x² + 6x – 2x – 3

=2x( 2x + 3) -1(2x + 3)

=(2x + 3)(2x – 1)

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NCERT Solutions of class 9 science

Chapter 1-Matter in our surroundings	Chapter 9- Force and laws of motion
Chapter 2-Is matter around us pure?	Chapter 10- Gravitation
Chapter3- Atoms and Molecules	Chapter 11- Work and Energy
Chapter 4-Structure of the Atom	Chapter 12- Sound
Chapter 5-Fundamental unit of life	Chapter 13-Why do we fall ill ?
Chapter 6- Tissues	Chapter 14- Natural Resources
Chapter 7- Diversity in living organism	Chapter 15-Improvement in food resources
Chapter 8- Motion	Last years question papers & sample papers

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Chapter 1-Real number	Chapter 9-Some application of Trigonometry
Chapter 2-Polynomial	Chapter 10-Circles
Chapter 3-Linear equations	Chapter 11- Construction
Chapter 4- Quadratic equations	Chapter 12-Area related to circle
Chapter 5-Arithmetic Progression	Chapter 13-Surface areas and Volume
Chapter 6-Triangle	Chapter 14-Statistics
Chapter 7- Co-ordinate geometry	Chapter 15-Probability
Chapter 8-Trigonometry

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Chapter 1- Chemical reactions and equations	Chapter 9- Heredity and Evolution
Chapter 2- Acid, Base and Salt	Chapter 10- Light reflection and refraction
Chapter 3- Metals and Non-Metals	Chapter 11- Human eye and colorful world
Chapter 4- Carbon and its Compounds	Chapter 12- Electricity
Chapter 5-Periodic classification of elements	Chapter 13-Magnetic effect of electric current
Chapter 6- Life Process	Chapter 14-Sources of Energy
Chapter 7-Control and Coordination	Chapter 15-Environment
Chapter 8- How do organisms reproduce?	Chapter 16-Management of Natural Resources

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NCERT solutions of class 11 maths

Chapter 1-Sets	Chapter 9-Sequences and Series
Chapter 2- Relations and functions	Chapter 10- Straight Lines
Chapter 3- Trigonometry	Chapter 11-Conic Sections
Chapter 4-Principle of mathematical induction	Chapter 12-Introduction to three Dimensional Geometry
Chapter 5-Complex numbers	Chapter 13- Limits and Derivatives
Chapter 6- Linear Inequalities	Chapter 14-Mathematical Reasoning
Chapter 7- Permutations and Combinations	Chapter 15- Statistics
Chapter 8- Binomial Theorem	Chapter 16- Probability

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NCERT solutions of class 12 maths

Chapter 1-Relations and Functions	Chapter 9-Differential Equations
Chapter 2-Inverse Trigonometric Functions	Chapter 10-Vector Algebra
Chapter 3-Matrices	Chapter 11 – Three Dimensional Geometry
Chapter 4-Determinants	Chapter 12-Linear Programming
Chapter 5- Continuity and Differentiability	Chapter 13-Probability
Chapter 6- Application of Derivation	CBSE Class 12- Question paper of maths 2021 with solutions
Chapter 7- Integrals
Chapter 8-Application of Integrals