Quadratc Formula Completng the Square Systems Revew Sheet 1. Factor the polynomal completely. 6. Use the graph to approxmate the real zeros of the functon. 2. Fnd the real-number solutons of the equaton. 2 2 3 1 1 3 1 1 1 1 3 3. 4 5 0 4 4 4 0 4 Fnd all zeros of the polynomal functon. 7. Factor the expresson. 4. 8. Factor the expresson. 5. 9. 10. Wrte as the product of two factors:
11. 0 6 0 6 6 6 1 6 16. no real-number soluton 12. 7 9 3 7 1 1 3 1 1 3 7 9 3 7 17. Wrte the expresson as a complex number n standard form. 13. 14. Factor completely. Smplfy the expresson. 18. 19. 128 127 16 1 16 127 128 1 Solve for x. 15. 20.
21. Solve by completng the square. 3 + 11 and 3 11 3 + 7 and 3 7 3 + 11 and 3 11 3 + 7 and 3 7 27. What are the zeros of the polynomal functon graphed below? 22. Use the quadratc formula to solve: 23. 28. Whch equaton(s) represent the graph below? I II III 24. x = 4 1 4 x = x = x = 1 4 4 4 25. Solve by factorng: I only II only I and II II and III Fnd the zeros of the functon. 26.
Quadratc Formula Completng the Square Systems Revew Sheet Answer Secton 1. ANS: C PTS: 1 DIF: Level A REF: MAL20784 STA: NY.NYLES.MTH.05.AT2.A2.A.7 TOP: Lesson 5.4 Factor and Solve Polynomal Equatons KEY: factor dfference of squares 2. ANS: C PTS: 1 DIF: Level A REF: MAL20783 STA: NY.NYLES.MTH.05.AT2.A2.A.7 TOP: Lesson 5.4 Factor and Solve Polynomal Equatons KEY: polynomal factor 3. ANS: D PTS: 1 DIF: Level A REF: MAL20797 TOP: Lesson 5.4 Factor and Solve Polynomal Equatons KEY: solve cubc factor zero product BLM: Comprehenson 4. ANS: A PTS: 1 DIF: Level B REF: MAL20835 NAT: NCTM 9-12.ALG.1.c TOP: Lesson 5.7 Apply the Fundamental Theorem of Algebra KEY: rratonal conjugates theorem zeros functons 5. ANS: B PTS: 1 DIF: Level B REF: MAL20833 TOP: Lesson 5.7 Apply the Fundamental Theorem of Algebra KEY: zeros functon complex conjugates 6. ANS: D PTS: 1 DIF: Level A REF: MAL20842 TOP: Lesson 5.7 Apply the Fundamental Theorem of Algebra KEY: estmate root zero functon cubc 7. ANS: C PTS: 1 DIF: Level A REF: MAL20577 TOP: Lesson 4.4 Solve ax2 + bx + c = 0 by Factorng KEY: factor quadratc trnomal 8. ANS: A PTS: 1 DIF: Level B REF: MAL20586 STA: NY.NYLES.MTH.05.AT2.A2.A.7 TOP: Lesson 4.4 Solve ax2 + bx + c = 0 by Factorng KEY: trnomal factor dfference of two squares 9. ANS: B PTS: 1 DIF: Level B REF: MAL20585 STA: NY.NYLES.MTH.05.AT2.A2.A.7 TOP: Lesson 4.4 Solve ax2 + bx + c = 0 by Factorng KEY: factor dfference of squares 10. ANS: C PTS: 1 DIF: Level B REF: MAL20581 TOP: Lesson 4.4 Solve ax2 + bx + c = 0 by Factorng KEY: factor quadratc trnomal 11. ANS: A PTS: 1 DIF: Level B REF: MAL20587 TOP: Lesson 4.4 Solve ax2 + bx + c = 0 by Factorng KEY: factor solve quadratc 12. ANS: D PTS: 1 DIF: Level B REF: MAL20595 TOP: Lesson 4.4 Solve ax2 + bx + c = 0 by Factorng KEY: factor solve quadratc trnomal 13. ANS: A PTS: 1 DIF: Level B REF: MAL20591 STA: NY.NYLES.MTH.05.AT2.A2.A.7 TOP: Lesson 4.4 Solve ax2 + bx + c = 0 by Factorng KEY: polynomal factor 14. ANS: A PTS: 1 DIF: Level B REF: MAL20602 STA: NY.NYLES.MTH.05.AT2.A2.A.16 TOP: Lesson 4.5 Solve Quadratc Equatons by Fndng Square Roots KEY: radcal root property product 15. ANS: D PTS: 1 DIF: Level A REF: MAL20605
TOP: Lesson 4.5 Solve Quadratc Equatons by Fndng Square Roots KEY: solve square square root varable dvde 16. ANS: D PTS: 1 DIF: Level B REF: MAL20607 TOP: Lesson 4.5 Solve Quadratc Equatons by Fndng Square Roots KEY: equaton quadratc square root 17. ANS: D PTS: 1 DIF: Level B REF: MAL20626 NAT: NCTM 9-12.NOP.1.b TOP: Lesson 4.6 Perform Operatons wth Complex Numbers KEY: subtract add complex number 18. ANS: C PTS: 1 DIF: Level B REF: MAL20639 NAT: NCTM 9-12.NOP.1.b TOP: Lesson 4.6 Perform Operatons wth Complex Numbers KEY: quotent complex 19. ANS: A PTS: 1 DIF: Level B REF: MAL20657 TOP: Lesson 4.7 Complete the Square KEY: square solve complex quadratc 20. ANS: D PTS: 1 DIF: Level B REF: MAL20661 STA: NY.NYLES.MTH.05.AT2.A2.A.25 TOP: Lesson 4.7 Complete the Square KEY: solve equaton complex quadratc 21. ANS: C PTS: 1 DIF: Level B REF: MAL20674 STA: NY.NYLES.MTH.05.AT2.A2.A.24 TOP: Lesson 4.7 Complete the Square KEY: root completng the square complex quadratc magnary 22. ANS: B PTS: 1 DIF: Level B REF: MAL20684 STA: NY.NYLES.MTH.05.AT2.A2.A.25 TOP: Lesson 4.8 Use the Quadratc Formula and the Dscrmnant KEY: solve quadratc quadratc formula 23. ANS: C PTS: 1 DIF: Level B REF: MAL20690 NAT: NCTM 9-12.NOP.1.b TOP: Lesson 4.8 Use the Quadratc Formula and the Dscrmnant KEY: equaton complex quadratc functon magnary root 24. ANS: C PTS: 1 DIF: Level B REF: MAL20688 TOP: Lesson 4.8 Use the Quadratc Formula and the Dscrmnant KEY: solve equaton quadratc functon dscrmnant one soluton 25. ANS: 9 PTS: 1 DIF: Level B REF: MAL20568 TOP: Lesson 4.3 Solve x2 + bx + c = 0 by Factorng 26. ANS: 9 2 KEY: trnomal factor square bnomal PTS: 1 DIF: Level B REF: MAL20576 NAT: NCTM 9-12.ALG.1.c TOP: Lesson 4.3 Solve x2 + bx + c = 0 by Factorng KEY: solve quadratc factor 27. ANS: A PTS: 2 REF: 081501a2 NAT: A.APR.B.3 STA: A2.A.50 TOP: Zeros of Polynomals
28. ANS: B PTS: 2 REF: 061512a NAT: A.APR.B.3 TOP: Zeros of Polynomals