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The graph of a polynomial y = f(x), shown in figure. Find the number of real zeros of f(x).

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Question

The graph of a polynomial y = f(x), shown in figure. Find the number of real zeros of f(x).

Graph
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Solution

A real number  a is a zero of polynomial `f(x)` if  `f(a)=0` 


In the above figure the curve intersects x-axis at one point and touches at one point

When a curve touches x-axis at one point, it means it has two common zeros at that point

Hence the number of real zeroes is 3.

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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 13. | Page 2.49
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