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Chapter 4: Q. 1 (page 224)

The quotient of two polynomial expressions

is a rational expression.

Short Answer

Expert verified

Yes, The quotient of two polynomial expressions is a rational expression. so the statement is true

Step by step solution

01

Step 1. Definition

Rational expression

a rational expression is the quotient of two polynomial expressions where the denominator is not equal to zero.

02

Step 2. clarification

Consider two polynomial p(x)&q(x)

and role="math" localid="1646145110470" q(x)鈮�0

then the quotient p(x)q(x)is a rational expression

so the statement is true.

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Most popular questions from this chapter

True or False. The graph of a rational function may intersect

a horizontal asymptote.

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

Ct=t2t2+1

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.

Find the real zeros of f. Use the real zeros to factor f. f(x)=x4+x3-3x2-x+2

If a rational function is proper, then______ is a horizontal

asymptote.

The illustration shows the graph of a polynomial function.

(a) Is the degree of the polynomial even or odd?

(b) Is the leading coefficient positive or negative?

(c) Is the function even, odd, or neither?

(d) Why is x2necessarily a factor of the polynomial?

(e) What is the minimum degree of the polynomial?

(f) Formulate five different polynomial functions whose graphs could look like the one shown. Compare yours to those of other students. What similarities do you see? What differences?
See all solutions

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