Work each problem. Match each polynomial in Column I with its factored form in Column II.

Determine whether each statement is true or false. If false, correct the right side of the equation. (3x²)^-1 = 3x^-2

Evaluate each expression. 2∙5 - 10÷12

Find {16, 18, 21, 50} ∩ {15, 16, 17, 18}.

Perform the indicated operation, and write each answer in lowest terms. (4/x-y) - (9/x-y)

Perform the indicated operations. -2x³(x⁴-8)

Determine whether each statement is true or false. If false, correct the right side of the equation. (m^2/3)(m^1/3) = m^2/9

Write each fraction in lowest terms. 4/12

Find {16, 18, 21, 50} ∪ {15, 16, 17, 18}.

Work each problem. Which of the following is the correct complete factorization of $x^4-1$?

A. $(x^2-1)(x^2+1)$

B. $(x^2+1)(x+1)(x-1)$

C. $(x^2-1{)}^2$

D. $(x-1{)}^2(x+1{)}^2$

Perform the operation and/or simplify each of the following. Assume all variables represent positive real numbers. 3√xy - 8√xy

Evaluate each expression. |-4|

Perform the indicated operation, and write each answer in lowest terms. 2x/5 + x/4

Write each fraction in lowest terms. 16/20

Perform the operation and/or simplify each of the following. Assume all variables represent positive real numbers. (2 + √3) (2 - √3)

Perform the indicated operations. (10m⁴-4m²)/2m

Work each problem. Which of the following is the correct factorization of x³+8?

A. (x+2)³

B. (x+2)(x²+2x+4)

C. (x+2)(x²-2x+4)

D. (x+2)(x²-4x+4)

Match each expression in Column I with its equivalent expression in Column II. Choices may be used once, more than once, or not at all.

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these. -5x¹¹

Identify each set as finite or infinite. Then determine whether 10 is an element of the set. {4, 5, 6,...., 15}

Evaluate each expression. |-10|

Write each root using exponents and evaluate. ∛125

Write each fraction in lowest terms. 90/150

Factor out the greatest common factor from each polynomial. See Example 1. 12m+60

Find the domain of each rational expression. (x + 3) / (x - 6)

Write each fraction in lowest terms. 100/140

Evaluate each expression. |-15|

Simplify each expression. See Example 1. (3y⁴)(-6y³)

Write each root using exponents and evaluate. ∛216