1. #1 Solve Each #2 Remember: Ch. 8 Test Thursday!

2. #1

3. ZPP

4. #2

5. ZPP

6. Review for Test (Day 1) Factoring chapter 8 The Short-Cut A=1

7. Start Here with Polynomial GCF ? Factor out GCF Type of Polynomial Binomial DOS ? Factor (a + b)(a - b) A > 1 A=1 FactorDiamond Quadratic Trinomial Ax 2 + Bx + C no yes Done Factoring factor trinomial using: Factor Box and Factor Diamond

8. Start Here with Polynomial GCF ? Factor out GCF Type of Polynomial Binomial DOS ? Factor (a + b)(a - b) A > 1 A=1 factor trinomial using: Factor Box and Factor Diamond Factor Diamond Quadratic Trinomial Ax 2 + Bx + C Done Factoring no yes

9. Binomial DOS ? Factor (a + b)(a - b) no yes Type of Polynomial A > 1 Quadratic Trinomial Ax2 + Bx + C Type of Polynomial A=1 Factor Diamond Done Factoring factor trinomial using: Factor Box and Factor Diamond GCF ? Factor out GCF yes Start Here with Polynomial

10. GCF ? Factor out GCF Type of Polynomial Binomial DOS ? Factor (a + b)(a - b) A > 1 A=1 factor trinomial using: Factor Diamond and Factor Square FactorDiamond Quadratic Trinomial Ax 2 + Bx + C Done Factoring no yes

11. #1 #2 The Short-Cut

12. #2 #1 The Short-Cut

13. Review for Test (Day 1) Factoring chapter 8 The “Super Six” ZERO on one side.ZERO on one side. Factor polynomialFactor polynomial Set factors = ZEROSet factors = ZERO Solve mini-equationSolve mini-equation GCF?GCF? D.O.S.?D.O.S.? Box & DiamondBox & Diamond

14. Solving Equations using Z.P.P. ZERO on one side.ZERO on one side. Factor polynomialFactor polynomial Set factors = ZEROSet factors = ZERO Solve mini-equationSolve mini-equation Ex. 1 Box & DiamondBox & Diamond GCF?GCF? D.O.S.?D.O.S.? Solve

15. Solving Equations using Z.P.P. ZERO on one side.ZERO on one side. Factor polynomialFactor polynomial Set factors = ZEROSet factors = ZERO Solve mini-equationSolve mini-equation GCF?GCF? D.O.S.?D.O.S.? Box & DiamondBox & Diamond Ex. 1 ZPP Solve

16. Solving Equations using Z.P.P. ZERO on one side.ZERO on one side. Factor polynomialFactor polynomial Set factors = ZEROSet factors = ZERO Solve mini-equationSolve mini-equation Box & DiamondBox & Diamond Ex. 2 ZPP GCF?GCF? D.O.S.?D.O.S.? Solve

17. Solving Equations using Z.P.P. ZERO on one side.ZERO on one side. Factor polynomialFactor polynomial Set factors = ZEROSet factors = ZERO Solve mini-equationSolve mini-equation Ex. 3 ZPP GCF?GCF? D.O.S.?D.O.S.? Box & DiamondBox & Diamond Solve

18. Solving Equations using Z.P.P. ZERO on one side.ZERO on one side. Factor polynomialFactor polynomial Set factors = ZEROSet factors = ZERO Solve mini-equationSolve mini-equation Ex. 4 Solve GCF?GCF? D.O.S.?D.O.S.? Box & DiamondBox & Diamond

19. Solving Equations using Z.P.P. ZERO on one side.ZERO on one side. Factor polynomialFactor polynomial Set factors = ZEROSet factors = ZERO Solve mini-equationSolve mini-equation GCF?GCF? D.O.S.?D.O.S.? Ex. 5 Solve Box & DiamondBox & Diamond

20. Solving Equations using Z.P.P. ZERO on one side.ZERO on one side. Factor polynomialFactor polynomial Set factors = ZEROSet factors = ZERO Solve mini-equationSolve mini-equation Ex. 6 Solve GCF?GCF? D.O.S.?D.O.S.? Box & DiamondBox & Diamond

21. #2) _______________________ Factor each of the following polynomials 1.)2.) 4.)3.) 5.) 6.) Solve each of the following equations Factoring and ZPP Test (Practice) 4 7.) 8.) 10.) 11.) 13.) 14.) 9.) 12.) 15.) Write a polynomial equation in standard form that has solutions: Possible Bonus Questions: #1) _______________________ #4) _______________________ #3) _______________________ #5) _______________________ #6) _______________________ #7) x = ______________ #8) x = ______________ #9) x = ______________ #10) x = ______________ #11) x = ______________ #12) x = ______________ #13) x = ______________ #14) x = ______________ #15) x = ______________ Bonus #1 ______________ Bonus #2 ______________ Write a polynomial equation in standard form that has solutions: Factor Completely: Solve:

22. #2) _______________________ Factor each of the following polynomials 1.)2.) 4.)3.) 5.) 6.) 4 #1) _______________________ #4) _______________________ #3) _______________________ #5) _______________________ #6) _______________________ #7) x = ______________ #8) x = ______________ #9) x = ______________ #10) x = ______________ #11) x = ______________ #12) x = ______________ #13) x = ______________ #14) x = ______________ #15) x = ______________ Bonus #1 ______________ Bonus #2 ______________ Factoring and ZPP Test (Practice) Solve each of the following equations 7.) 8.) 10.) 11.) 13.) 14.) 9.) 12.) 15.) Write a polynomial equation in standard form that has solutions: Possible Bonus Questions: Write a polynomial equation in standard form that has solutions: Factor Completely: Solve: