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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" $q (x) \neq 0$

then the quotient $\frac{p (x)}{q (x)}$ is a rational expression

so the statement is true.

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Most popular questions from this chapter

Find the real zeros of f. Use the real zeros to factor f.

$f (x) = 3 x^{3} - 7 x^{2} + 12 x - 28$

Make up a polynomial function that has the following characteristics: crosses the $x$ -axis at $- 1$ and $4$ , touches the $x -$ axis at $0$ and $2$ , and is above the x-axis between $0$ and $2$ . Give your polynomial function to a fellow classmate and ask for a written critique

A can in the shape of a right circular cylinder is required to have a volume of $500$ cubic centimeters. The top and bottom are made of material that costs $0.06 ₡$ per square centimeter, while the sides are made of material that costs $0.04 ₡$ per square centimeter.

Part (a) Express the total cost C of the material as a function of the radius r of the cylinder.

Part (b): Graph $C = C (r)$ . For what value of r is the cost C a minimum?

Find the domain of the rational function.

$R (x) = \frac{x}{x^{3} - 8}$

Find the domain of the rational function.

Q (x) = \frac{- x (1 - x)}{3 x^{2} + 5 x - 2}

See all solutions

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