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Chapter 4: Q. 4 (page 215)
If 3 + 4i is a zero of a polynomial function of degree 5 with real coefficients, then so is _______.
If 3 + 4i is a zero of a polynomial function of degree 5 with real coefficients, then so is 3-4i.
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In Problems 49鈥� 60, for each polynomial function:
(a) List each real zero and its multiplicity.
(b) Determine whether the graph crosses or touches the x-axis at each x-intercept.
(c) Determine the maximum number of turning points on the graph. (d) Determine the end behavior; that is, find the power function that the graph of f resembles for large values of
Analyze each polynomial function using Steps through :
.
Use the Factor Theorem to prove that is a factor of
for any positive integer n.
True or False. The graph of a rational function may intersect
a horizontal asymptote.
In Problems 57鈥� 62, find the real zeros of f. If necessary, round to two decimal places.
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