Fill in each blank so that the resulting statement is true. A rational expression whose numerator or denominator or both contain rational expressions is called a/an ____ rational expression or a/an ____ fraction.

Fill in the blank so that the resulting statement is true.

A rational expression is the quotient of two _____.

The ratio of a polynomial and its opposite equals _.

Fill in each blank so that the resulting statement is true.

The set of real numbers for which a rational expression is defined is the $\underline{\qquad\quad}$ of the expression. We must exclude all numbers from this set that make the denominator of the rational expression $\underline{\quad\quad}.$

Estimate each slope, then order them from least to greatest.

Fill in each blank so that the resulting statement is true. An equivalent expression for $\frac{3 x+2}{x-5}$ with a denominator of (3x+4)(x-5) can be obtained by multiplying the numerator and denominator by ____.

What are some of the advantages and disadvantages of living in a megalopolis?

Is 5/21 a rational or irrational number?

Write two integers whose product is 0 .

In Exercise given below, compute f(1), f(2), and f(3).

$$f(x)= \begin{cases}\pi x^2 & \text { for } x<2 \\ 1+x & \text { for } 2 \leq x \leq 2.5 \\ 4 x & \text { for } 2.5<x\end{cases}$$

In the following question, use Rational Root Theorem to list all possible rational roots for the given equation.

$$2 x^3-x^2-6=0$$

Fill in each blank so that the resulting statement is true. Consider the quadratic function $f(x)=a x^{2}+b x+c, a \neq 0$. If a>0, then f has a minimum that occurs at x=____. This minimum value is . If a<0, then f has a maximum that occurs at x=. This maximum value is ____.

How to know rational and irrational numbers?

Factor completely and write the answer with no negative exponents. Do not rationalize the denominator.

$$\dfrac{6(t-1)^5(2t+5)^6-6(2t+5)^5(2)(t-1)^6}{[(2t+5)^6]^2}$$