RD Sharma Class 10 Chapter 2 (Polynomials) Solutions


Before you start attempting questions from RD Sharma Class 10 Chapter-2, make sure that you have solved all its NCERT questions. The reason being that advanced-level questions of RD Sharma Class 10 textbook will test your knowledge based on the key concepts mentioned below. 

While practising questions, you can take reference from RD Sharma Solutions for cross-checking your answers provided below.

RD Sharma Class 10 Chapter 2 (Polynomials) Solutions

RD Sharma - MathematicsClass 10th , RD Sharma
Chapter 1 - Real Numbers
Chapter 2 - Polynomials
Chapter 3 - Pair of Linear Equations in Two Variables
Chapter 4 - Triangles
Chapter 5 - Trigonometric Ratios
Chapter 6 - Trigonometric Identities
Chapter 7 - Statistics
Chapter 8 - Quadratic Equations
Chapter 9 - Arithmetic Progressions
Chapter 10 - Circles
Chapter 11 - Constructions
Chapter 12 - Some Application of Trigonometry
Chapter 13 - Probability
Chapter 14 - Co-ordinate Geometry
Chapter 15 - Areas Related to Circles
Chapter 16 - Surface Areas and Volumes
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Class 10th RD Sharma

Important Formulas| RD Sharma Class 10 Chapter-2

Chapter-2 ‘Polynomials’ require you to have an understanding of the following formulas.

1. For a quadratic equation ax2 + bx + c, if you are given Ι‘ and 𝛃 as zeroes of the polynomial, then

Ι‘ + 𝛃 = - b/a

ɑ𝛃 = c/a

2. For a cubic polynomial ax3 + bx2 + cx + d, if you are given Ι‘, 𝛃 and 𝛄 as zeroes of the polynomial, then

Ι‘ + 𝛃 + 𝛄  = - b/a

ɑ𝛃 + 𝛃𝛄 + 𝛄ɑ = c/a

ɑ𝛃𝛄 = -d/a   

3. Division algorithm: When you divide a given polynomial p(x) with a non-zero polynomial g(x), then the quotient polynomial q(x) and remainder polynomial r(x) can be represented as follows.

p(x) = g(x) q(x) + r(x), where r(x) = 0 or degree of g(x) > r(x) 

Concepts in RD Sharma Class 10 Chapter-2

Prior understanding of topics of polynomials studied in RD Sharma Class 9 textbook, including zeroes of a polynomial, remainder theorem, factorization, and algebraic identities will be advantageous. 

Extra questions of this book revolve around the topics mentioned below. 

  1. Introduction
    1. The Degree of the Polynomial
    2. Linear Polynomial
    3. Quadratic Polynomial
    4. Cubic Polynomial
    5. Zero of a Polynomial
  2. Geometrical Meaning of the Zeroes of a Polynomial
  3. Relationship between Zeroes and Coefficients of a Polynomial
  4. Division Algorithm for Polynomials