Real Zeros of Polynomial Function...3

Section 2.2
Question 46



Part (a)

After working out the math on paper, I found the real zeros to be t = -sqrt{5}, t = sqrt{5}.

Part (b)

For both t = -sqrt{5} and t = sqrt{5}, the graph crosses the line x = 0. Odd multiplicity 1 for each.

Part (c)

Let n = exponent of leading coefficient.

Let n - 1 = number of turning points.

If n = 4, we get 4 - 1 or 3. Maximum number of turning points is 3.

Part (d)

 

correct

 

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