Class 10MathematicsPolynomials

Relationship between Zeroes and Coefficients of a Polynomial

For quadratic polynomials ax² + bx + c, the sum of zeroes is -b/a and the product is c/a. Similar coefficient relations can be written for cubic polynomials as well, and these are extremely useful in verification and equation formation.

How to study this topic

Read the core explanation once without solving.
Open the formula links below and connect them with the topic meaning.
Practice the 10 example pages one by one.
Use the AI ask page for text, voice or image-based doubts.

10 example pages

Concept check 1

For Class 10 Mathematics, explain or solve a relationship between zeroes and coefficients of a polynomial question from the chapter "Polynomials". Focus on concept check and show the working clearly.

Definition to application 2

For Class 10 Mathematics, explain or solve a relationship between zeroes and coefficients of a polynomial question from the chapter "Polynomials". Focus on definition to application and show the working clearly.

Formula warm-up 3

For Class 10 Mathematics, explain or solve a relationship between zeroes and coefficients of a polynomial question from the chapter "Polynomials". Focus on formula warm-up and show the working clearly.

Reasoning practice 4

For Class 10 Mathematics, explain or solve a relationship between zeroes and coefficients of a polynomial question from the chapter "Polynomials". Focus on reasoning practice and show the working clearly.

Board-style short answer 5

For Class 10 Mathematics, explain or solve a relationship between zeroes and coefficients of a polynomial question from the chapter "Polynomials". Focus on board-style short answer and show the working clearly.

Mistake correction 6

For Class 10 Mathematics, explain or solve a relationship between zeroes and coefficients of a polynomial question from the chapter "Polynomials". Focus on mistake correction and show the working clearly.

Visual interpretation 7

For Class 10 Mathematics, explain or solve a relationship between zeroes and coefficients of a polynomial question from the chapter "Polynomials". Focus on visual interpretation and show the working clearly.

Applied word problem 8

For Class 10 Mathematics, explain or solve a relationship between zeroes and coefficients of a polynomial question from the chapter "Polynomials". Focus on applied word problem and show the working clearly.

Revision challenge 9

For Class 10 Mathematics, explain or solve a relationship between zeroes and coefficients of a polynomial question from the chapter "Polynomials". Focus on revision challenge and show the working clearly.

Exam recap 10

For Class 10 Mathematics, explain or solve a relationship between zeroes and coefficients of a polynomial question from the chapter "Polynomials". Focus on exam recap and show the working clearly.