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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.

10 examples

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.