RD Sharma Class 10 Chapter 2 (Polynomials) Solutions

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 ɑ and 𝛃 as zeroes of the polynomial, then

ɑ + 𝛃 = - b/a

ɑ𝛃 = c/a

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

ɑ + 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