The graph of a polynomial y = f(x), shown in Fig. 2.18.

Question:

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

Solution:

A real number $\alpha$ is a zero of polynomial $f(x)$, if $f(\alpha)=0$

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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Dec. 22, 2022, 4:36 p.m.
how it means two zeroes
D
Dec. 22, 2022, 4:35 p.m.
how it means two zeroes
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