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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 _______.

Short Answer

Expert verified

If 3 + 4i is a zero of a polynomial function of degree 5 with real coefficients, then so is 3-4i.

Step by step solution

01

Given information

We are given If 3 + 4i is a zero of a polynomial function of degree 5 with real coefficients, then so is _______.

02

Explanation

By conjugate property 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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Most popular questions from this chapter

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 |x|

f(x)=3(x-7)(x+3)2

The concentration C of a certain drug in a patient's bloodstream t hours after injection is given by

Ct=50tt2+25

Part (a): Find the horizontal asymptote of Ct. What happens to the concentration of the drug as t increases?

Part (b): Using your graphing utility, graph C=Ct.

Part (c): Determine the time at which the concentration is highest.

Solve each inequality algebraically.

(x-1)(x+1)x鈮�0

In Problems 63鈥�72, find the real solutions of each equation.

2x3+3x2+2x+3=0

Can the graph of a polynomial function have no y-intercept? Can it have no x-intercepts? Explain.
See all solutions

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