Class 10 Mathematics Chapter 2 - Polynomials Exercise - 2.1
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Q1. |
The graphs
of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the
number of zeroes of p(x), in each case. |
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(i) |
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Answer:
In this graph, the polynomial p(x) has 0 real zeroes
because the graph is parallel to the x-axis and does not intersect it at any
point. |
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(ii) |
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Answer: In this graph, the polynomial p(x) has one real zeroes
because the graph intersects the x-axis at only one point. |
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(iii) |
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Answer: In this graph, the polynomial p(x) has three real
zeroes because it intersects the x-axis at three distinct points. |
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(iv) |
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Answer: In this graph, the polynomial p(x) has two real zeroes
as it intersects the x-axis at two points. |
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(v) |
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Answer: In this graph, the polynomial p(x) has four real zeroes
as it intersects the x-axis at four distinct points. |
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(vi) |
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Answer: In this graph, the polynomial p(x) has three real
zeroes as it intersects the x-axis at three distinct points. |
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