0. Review of Algebra

Express the distance between the numbers -17 and 4 using absolute value. Then evaluate the absolute value.

Factor each polynomial. See Example 7. (x-4)³+64

Add or subtract, as indicated. 4/x + 1 + 1/x² - x + 1 - 12/x³ + 1

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

Factor each trinomial, if possible. See Examples 3 and 4. 9m² -12m+4

Factor each polynomial. See Example 7. 4(5x+7)²+12(5x+7)+9

Factor and simplify each algebraic expression. $-8(4x + 3)^{-2} + 10(5x + 1)(4x + 3)^{-1}$

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 4k^-1+k^-2

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