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#
How many exercises are in Class 10 Maths Chapter 2?
Two: Exercise 2.1 (1 question) and Exercise 2.2 (2 questions) — 3 questions in all, each solved step by step here.
How many zeroes can a quadratic polynomial have?
At most two. Its graph, a parabola, can cross the x-axis at two points, touch it at one point, or miss it completely.