#### Chapters

Chapter 2 : Exponents of Real Numbers

Chapter 3 : Rationalisation

Chapter 4 : Algebraic Identities

Chapter 5 : Factorisation of Algebraic Expressions

Chapter 6 : Factorisation of Polynomials

Chapter 7 : Introduction to Euclid’s Geometry

Chapter 8 : Lines and Angles

Chapter 9 : Triangle and its Angles

Chapter 10 : Congruent Triangles

Chapter 11 : Co-ordinate Geometry

Chapter 12 : Heron’s Formula

Chapter 13 : Linear Equations in Two Variables

Chapter 14 : Quadrilaterals

Chapter 15 : Areas of Parallelograms and Triangles

Chapter 16 : Circles

Chapter 17 : Constructions

Chapter 18 : Surface Areas and Volume of a Cuboid and Cube

Chapter 19 : Surface Areas and Volume of a Circular Cylinder

Chapter 20 : Surface Areas and Volume of A Right Circular Cone

Chapter 21 : Surface Areas and Volume of a Sphere

Chapter 22 : Tabular Representation of Statistical Data

Chapter 23 : Graphical Representation of Statistical Data

Chapter 24 : Measures of Central Tendency

Chapter 25 : Probability

## Chapter 6 : Factorisation of Polynomials

#### Page 0

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:

3x^{2} - 4x +15

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:

*`y^2 +2sqrt3`*

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:

`3sqrtx+sqrt2x`

`x - 4/x`

`x^12+y^3+t^50`

Write the coefficient of x2 in each of the following:

`17 -2x + 7x^2`

Write the coefficient of x^{2} in each of the following:

`9-12x +X^3`

Write the coefficient of x^{2} in each of the following.

`pi/6x^2- 3x+4`

Write the coefficient of x^{2} in each of the following:

`sqrt3x-7`

Write the degrees of each of the following polynomials

`7x3 + 4x2 – 3x + 12`

Write the degrees of each of the following polynomials:

`12-x+2x^3`

Write the degrees of each of the following polynomials:

`5y-sqrt2`

Write the degrees of each of the following polynomials:

`7=7-x^@`

Write the degrees of each of the following polynomials

0

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

`x+x^2 +4`

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

`3x-2`

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

`2x+x^2`

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

`3y`

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

`t^2+1`

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials

`7t^4+4t^3+3t-2`

Classify the following polynomials as polynomials in one-variable, two variables etc:

`x^2-xy+7y^2`

Classify the following polynomials as polynomials in one-variable, two variables etc:

`x^2-2tx+7t^2-x+t`

Classify the following polynomials as polynomials in one-variable, two variables etc:

`t^3_3t^2+4t-5`

Classify the following polynomials as polynomials in one-variable, two variables etc:

`xy+yx+zx`

Identify polynomials in the following:

`f(x)=4x^3-x^2-3x+7`

Identify polynomials in the following:

`g(x)=2x^3-3x^2+sqrtx-1`

Identify polynomials in the following:

`p(x)=2/3x^3-7/4x+9`

Identify polynomials in the following:

`q(x)=2x^2-3x+4/x+2`

Identify polynomials in the following:

`h(x)=x^4-x^(3/2)+x-1`

Identify polynomials in the following:

`f(x)=2+3/x+4x`

Identify constant, linear, quadratic and cubic polynomials from the following polynomials:

`f(x)=0`

Identify constant, linear, quadratic and cubic polynomials from the following polynomials:

`g(x)=2x^3-7x+4`

Identify constant, linear, quadratic and cubic polynomials from the following polynomials:

`h(x)=-3x+1/2`

Identify constant, linear, quadratic and cubic polynomials from the following polynomials

`p(x)=2x^2-x+4`

Identify constant, linear, quadratic and cubic polynomials from the following polynomials:

`q(x)=4x+3`

Identify constant, linear, quadratic and cubic polynomials from the following polynomials:

`r(x)=3x^2+4x^2+5x-7`

Give one example each of a binomial of degree 35, and of a monomial of degree 100.

#### Page 0

If `f(x)=2x^2-13x^2+17x+12` find `f(2)`

If `f(x)=2x^2-13x^2+17x+12` find `f-(3)`

If `f(x)=2x^2-13x^2+17x+12` find `f(0)`

Verify whether the indicated numbers are zeroes of the polynomials corresponding to them in the following cases:

`f ( x ) = 3x +1, x = - 1/3`

Verify whether the indicated numbers are zeroes of the polynomials corresponding to them in the following cases

`f(x)=x^2- 1,x=1,-1`

Verify whether the indicated numbers are zeroes of the polynomials corresponding to them in the following cases

`g(x)=3x^2-2,` `x=2/sqrt3 2/sqrt3`

Verify whether the indicated numbers are zeroes of the polynomials corresponding to them in the following cases:

`f ( x ) = 5x - pi , x = 4/5`

Verify whether the indicated numbers are zeroes of the polynomials corresponding to them in the following cases:

`f ( x) = x^2and x = 0`

`f(x) = lx + m , x = - m/l`

`f (x) = 2x +1, x = 1/2`

If `x = 2` is a root of the polynomial `f(x) = 2x2 – 3x + 7a` find the value of a.

If `x = −1/2` is a zero of the polynomial `p(x)=8x^3-ax^2 -+2` find the value of a.

#### Textbook solutions for Class 9

## RD Sharma solutions for Class 9 Mathematics chapter 6 - Factorisation of Polynomials

RD Sharma solutions for Class 9 Maths chapter 6 (Factorisation of Polynomials) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics for Class 9 by R D Sharma (2018-19 Session) solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 9 Mathematics chapter 6 Factorisation of Polynomials are Introduction of Polynomials, Polynomials in One Variable, Zeroes of a Polynomial, Remainder Theorem, Factorisation of Polynomials.

Using RD Sharma Class 9 solutions Factorisation of Polynomials exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in RD Sharma Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 9 prefer RD Sharma Textbook Solutions to score more in exam.

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