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Class 10 Mathematics
Chapter 2 Solutions — Polynomials
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Overview
Step-by-step NCERT solutions for Polynomials (Chapter 2, CBSE Class 10 Mathematics) — the full working for every question, not just the final answer. You can also read the Polynomials textbook chapter.
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What these solutions cover
All 3 questions in Polynomials are solved in the PDF. Here's what's inside, exercise by exercise:
Geometrical Meaning of the Zeroes of a Polynomial
- The graphs of y = p(x) are given below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.
- (i) Graph
- (i) (ii) Graph
- (ii) (iii) Graph
- (iii) (iv) Graph
- (iv) (v) Graph
- (v) (vi) Graph (vi)
Relationship between Zeroes and Coefficients of a Polynomial
- Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients:
- (i) x² − 2x − 8
- (ii) 4s² − 4s + 1
- (iii) 6x² − 3 − 7x
- (iv) 4u² + 8u
- (v) t² − 15
- (vi) 3x² − x − 4
- Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively:
- (i) 1/4, −1
- (ii) √2, 1/3
- (iii) 0, √5
- (iv) 1, 1
- (v) −1/4, 1/4
- (vi) 4, 1
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