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Factor of a Polynomial

The graph of ...

Question

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

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Solution

A real number is a zero of polynomial, if

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

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Factor of a Polynomial

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