Design a polynomial function with the followingcharacteristics: degree 6; four distinct real zeros, one ofmultiplicity 3; y-intercept 3; behaves like y = - 5x6for largevalues of x . Is this polynomial unique? Compare yourpolynomial with those of other students. What terms will be the same as everyone else’s? Add some more characteristics,such as symmetry or naming the real zeros. How does thismodify the polynomial?

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Q: 2. What details are used in order to analyze the polynomial function and analyze to sketch the…

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Q: If the degree of the polynomial function is 4, how many real zeros will it have?

A: Given;  the degree of the polynomial function is 4.

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Q: what could be a polynomial with a degree of 5 if its zeros are -2,1, and 4?

A: The given zeros are, –2, 1 and 4.

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Q: A student described the characteristics of the given graph of a polynomial function but made an…

A: To identify the error and correct it.

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.