In this lesson, we learn the Relationship Between Zeroes and Coefficients of a Quadratic Polynomial as part of Chapter 2 — Polynomials.

For a quadratic polynomial:

p(x)=ax
2
+bx+c,a
is not
=0

with zeroes α and β, we derive and understand:

α+β=−b/a
and

αβ= c/a
​
In this video, we cover:
What zeroes of a polynomial mean
Why (x−α) is a factor when α is a zero
Why a quadratic can be written as a(x−α)(x−β)
Derivation of the relationship between zeroes and coefficients
Sum of zeroes
Product of zeroes
Worked examples
Common mistakes
Practice questions

This lesson follows the NCERT Class 10 Maths sequence and is designed to build conceptual understanding rather than relying on memorisation.

📌 Chapter: Polynomials
📌 Class: 10
📌 Subject: Mathematics
📌 Lesson: Relationship Between Zeroes and Coefficients

Next lesson: Forming a Quadratic Polynomial from Given Zeroes

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