Precalculus 2014
76

 PAGE: 106 SET: Exercises PROBLEM: 76

Find the polynomial function.

Degree of the function is .

Real zeros : .

.

Since the degree of the polynomial function is , it is an odd function.

The leading coefficient() of the polynomial function must be positive.

Because for odd and positive the end behavior of the polynomial function is and.

Let the three real zeroes are , and .

Then the factors are , and .

From the given data conclude that, there are two zeros that are not real.

Let be a factor, because has no real zeros.

Thus, the polynomial function is .

Graph the function :

Graph :

The polynomial function is .

Graph of the function is :

.

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