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The Graph of a Polynomial Y = F(X), Shown in Fig. 2.18. Find the Number of Real Zeros of F(X). - Mathematics

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Question

The graph of a polynomial y = f(x), shown in Fig. 2.18. Find the number of real zeros of f(x).

Short Note

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 - Exercise 2.4 [Page 59]

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RD Sharma Mathematics [English] Class 10
Chapter 2 Polynomials
Exercise 2.4 | Q 13 | Page 59

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