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Factor of a Polynomial

2.21. Write t...

Question

The graph of a polynomial f(x) is as shown in Fig. 2.21. Write the number of real zeros of f(x).

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Solution

The graph of a polynomial touches x−axis at two points

We know that if a curve touches the x-axis at two points then it has two common zeros of .

Hence the number of zeros of, in this case is 2.

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