0. Review of Algebra

Work each problem. Match each polynomial in Column I with its factored form in Column II. a. 8x^3-27 b.8x^3+27 c. 27-8x^3 A. (3-2x)(9+6x+4x^2) B. (2x-3)(4x^2+6x+9) C. (2x+3)(4x^2-6x+9)

Factor out the greatest common factor from each polynomial. See Example 1. 4k^2m^3+8k^4m^3-12k^2m^4

Factor each trinomial, if possible. See Examples 3 and 4. 12s^2+11st-5t^2

Factor each trinomial, if possible. See Examples 3 and 4. (2p+q)^2-10(2p+q)+25

Factor each polynomial. See Examples 5 and 6. 27-(m+2n)^3

Factor each polynomial. See Examples 5 and 6. x^2-8x+16-y^2

Factor by any method. See Examples 1–7. 1000x^3+343y^3

Factor each polynomial. See Example 7. (5x-2)^3-8

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 4x(2x+3)^-5/9+6x^2(2x+3)^4/9-8x^3(2x+3)^13/9

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