91Ó°ÊÓ

Do you prefer adding two polynomials using the horizontal method or the vertical method? Write a brief position paper defending your choice.

Factor each polynomial completely. If the polynomial cannot be factored, say it is prime. $$ 1-8 x^{2}-9 x^{4} $$

In Problems 113-120, use a calculator to evaluate each expression. Round your answer to three decimal places. \((8.2)^{6}\)

Do you prefer to memorize the rule for the square of a binomial \((x+a)^{2}\) or to use FOIL to obtain the product? Write a brief position paper defending your choice.

Are there any real numbers that are both rational and irrational? Are there any real numbers that are neither? Explain your reasoning.

Explain why the sum of a rational number and an irrational number must be irrational.

A rational number is defined as the quotient of two integers. When written as a decimal, the decimal will either repeat or terminate. By looking at the denominator of the rational number, there is a way to tell in advance whether its decimal representation will repeat or terminate. Make a list of rational numbers and their decimals. See if you can discover the pattern. Confirm your conclusion by consulting books on number theory at the library. Write a brief essay on your findings.

The current time is 12 noon CST. What time (CST) will it be 12,997 hours from now?

Expressions that occur in calculus are given. Factor each expression. Express your answer so that only positive exponents occur. $$6 x^{1 / 2}\left(x^{2}+x\right)-8 x^{3 / 2}-8 x^{1 / 2} \quad x \geq 0$$

Use a calculator to evaluate each expression. Round your answer to three decimal places. \(-(2.8)^{6}\)