# NCERT Class 10 Mathematics Chapter 2 Polynomials Solutions: In-Text and Exercise Questions Explained | SwaVid

This chapter, 'Polynomials', is Chapter 2 of the NCERT Class 10 Mathematics textbook. It covers the concepts of zeroes of a polynomial, the relationship...

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# Polynomials

## Find the gaps before this chapter finds them for you.

## Related chapters

Chapter 2 · Class 10 Mathematics

This chapter, 'Polynomials', is Chapter 2 of the NCERT Class 10 Mathematics textbook. It covers the concepts of zeroes of a polynomial, the relationship between zeroes and coefficients of quadratic and cubic polynomials, and the division algorithm for polynomials. The exercises include finding the number of zeroes from graphs, calculating zeroes of quadratic polynomials, verifying relationships, constructing polynomials, and performing polynomial division.

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Exercise 2.1

Answer: (i) 0, (ii) 1, (iii) 3, (iv) 2, (v) 4, (vi) 3

The zeroes are the x-coordinates where the graph crosses the x-axis.

Exercise 2.2

Exercise 2.3

Exercise 2.4 (Optional)

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- The number of zeroes of a polynomial p(x) is equal to the number of times its graph intersects the x-axis.
- For (i), the graph is a horizontal line that does not intersect the x-axis. Therefore, the number of zeroes is 0.
- For (ii), the graph is a straight line that intersects the x-axis at exactly one point. Therefore, the number of zeroes is 1.
- For (iii), the graph is a curve that intersects the x-axis at three distinct points. Therefore, the number of zeroes is 3.
- For (iv), the graph is a parabola that intersects the x-axis at two distinct points. Therefore, the number of zeroes is 2.
- For (v), the graph is a curve that intersects the x-axis at four distinct points. Therefore, the number of zeroes is 4.
- For (vi), the graph is a curve that intersects the x-axis at three distinct points. Therefore, the number of zeroes is 3.
- NCERT Class 10 Mathematics textbook: Mathematics : Chapter 2: Polynomials

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