0. Review of Algebra

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

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

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+6x²(2x+3)^4/9-8x³(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