English

The graph of a polynomial f(x) is as shown in figure. Write the number of real zeros of f(x).

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Question

The graph of a polynomial f(x) is as shown in figure. Write the number of real zeros of f(x).

Graph
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Solution

The graph of a polynomial f(x) touches x-axis at two points


The curve y = f(x) crosses or touches the x-axis at three distinct points.

These are the points where f(x) = 0.

Number of real zeros = 3

The polynomial has 3 real zeros because it intersects the x-axis at three points.

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Chapter 2: Polynomials - VERY SHORT ANSWER TYPE QUESTIONS (VSAQS) [Page 2.49]

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R.D. Sharma Mathematics [English] Class 10
Chapter 2 Polynomials
VERY SHORT ANSWER TYPE QUESTIONS (VSAQS) | Q 14. | Page 2.49
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