NCERT Solutions Class 10 Maths Chapter 2 — Polynomials#

Chapter 2 explores polynomials and their zeroes. You will study the geometrical meaning of zeroes of a polynomial through graphs, the relationship between the zeroes and coefficients of quadratic and cubic polynomials, and apply the division algorithm for polynomials.

Exercises#

• Exercise 2.1 — Geometrical meaning of zeroes of a polynomial (1 question)
• Exercise 2.2 — Relationship between zeroes and coefficients (2 questions)

What you will learn#

• Read the zeroes of a polynomial from its graph — the points where the graph meets the x-axis.
• Find the zeroes of a quadratic polynomial and check their relationship with its coefficients.
• Form a quadratic polynomial when the sum and product of its zeroes are given.

Key formulas and results#

• For $ax^2 + bx + c$ with zeroes $\alpha$ and $\beta$: $\alpha + \beta = -\dfrac{b}{a}$ and $\alpha\beta = \dfrac{c}{a}$.
• A quadratic polynomial whose zeroes have sum $S$ and product $P$ is $k(x^2 - Sx + P)$, for any non-zero $k$.

Read and revise#

• Class 10 Maths Notes — Polynomials: every definition, formula and method in short.
• All Class 10 Maths formulas on one page.
• NCERT Class 10 Maths Chapter 2 (PDF) — the textbook chapter itself, and all Class 10 Maths chapters.

Frequently asked questions#