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Factoring Polynomials Scavenger Hunt This scavenger hunt covers the factoring of integers, monomials, and polynomials. Scroll down to questions and their links to help you learn more about factoring polynomials. Bookmark this page so you can return to it quickly. Have fun learning! In addition, you will be asked to provide a “Print-screen” of some of the pages. For directions on how to provide this copy click here. Find the answer to the questions below. Open Microsoft Word and type your answers. Some of your answers may have to be hand written. Once you have finished the scavenger hunt, print out your word processing document and turn it in along with any hand written explanations. What is expected from you upon completion of this assignment? Click here. PART ONE 1. What is a prime number? http://amby.com/educate/math/2-1_prim.html 2. From the same site read to find out why 39 is a composite number. Write your explanation here. 3. Answer problems 1-5 from the above site. Click the drop-down box on the site to check your answers. PART TWO 4. GCF is an abbreviation for what math term? http://www.math.com/school/subject1/lessons/S1U3L2GL.html 5. What is the greatest common factor of 18 and 24? http://www.math.com/school/subject1/lessons/S1U3L2GL.html 6. What is factoring? http://www.math.com/school/subject1/lessons/S1U3L1GL.html 7. What are the multiples of 12? http://www.math.com/school/subject1/lessons/S1U3L1GL.html#sm4 8. What are the factors of 16? http://www.math.com/school/subject1/lessons/S1U3L1GL.html#sm4 9. What are the factors of 20? http://www.math.com/school/subject1/lessons/S1U3L1GL.html#sm4 10. What are the multiples of 5? http://www.math.com/school/subject1/lessons/S1U3L1GL.html#sm4 11. Explain the steps used to find the GCF of 84 and 120. http://www.gateways2learning.com/MathWorld/GCF/GCF.html 12. Play the GCF game. Countdown, answering as many questions correctly as possible in 60 seconds. When you finish playing call me over so I may record your score. (For entertainment purposes only!) http://www.aaamath.com/fra66g-grt-com-fac.html#section3 *******Use the print screen option to print your results.******* 13. Take the Factoring Unit Quiz. You may take the quiz as many times as you would like. Be conscious of the time limits. http://www.math.com/school/subject1/S1U3Quiz.html *******Use the print screen option to print your results.******* 14. In your own words using Microsoft Word, explain the difference between factors and multiples. PART THREE 15. The expression x2y - xy2 contains what common factor in each term? http://www.infodotinc.com/math1/11.htm 16. What is the common factor in the expression 4 3 2 2 3 3x y z - 6x yz - 12x y? http://servercc.oakton.edu/~cshapero/online/chap5/int-fact.htm 17. What is the first step in every factoring problem? http://servercc.oakton.edu/~cshapero/online/chap5/int-fact.htm 18. What is the largest common factor of 3ax2 - 3a? http://www.infodotinc.com/math1/11.htm 19. 4t5u5 is the GCF of what two terms? http://www.vhcc.edu/sfleming/MTH04/gcf.htm PART FOUR 20. When should we use factor by grouping? http://www.mc.maricopa.edu/~geraldine/120_extras/6_3_Com_%20Factors_%20 Grping.doc 21. Read through the following power point presentation. Find the answers and explanations to problems 20-25. http://weissman52.nyct.net/ppt/5-1.ppt a. 6x³y + 8x²y² b. 12a^4b + 18a²b²c (Question: Is c a common variable factor?) c. 2x² + 10x d. 5x³ - 35x² + 10x 22. According to the above site, why is factoring the opposite of multiplying? 23. Why is (x-3) the GCF of 6x (x – 3) + y² (x – 3)? 24. Is x – y the same as y –x? 25. Write the steps used to factor ax + bx – ay – by. 26. Factor 6x² - 9x – 4xy + 6y. PART FIVE Note to teacher: Before beginning this next section, be sure to complete the Factoring hands-on Activity. 27. How well can you answer the following problems? http://regentsprep.org/Regents/math/factor/PracFact7.htm *******Use the print screen option to print your results.******* PART SIX 28. What is the “guess-and-test” method of factoring the trinomial ? http://regentsprep.org/Regents/math/factor/Ltri1.htm 29. When trying to factor the trinomial in #27, what question must you find the answer to? http://regentsprep.org/Regents/math/factor/Ltri1.htm 30. Practice factoring trinomials whose leading coefficient is 1. http://regentsprep.org/Regents/math/factor/PracFact2.htm PART SEVEN 31. What is the expression a² - b² called? http://regentsprep.org/Regents/math/factor/Lfactps.htm 32. Why is x² - 9 a difference of two squares? http://regentsprep.org/Regents/math/factor/Lfactps.htm 33. Provide another expression that is a difference of two squares. http://regentsprep.org/Regents/math/factor/Lfactps.htm 34. Practice with factoring. http://regentsprep.org/Regents/math/factor/PracFact1.htm *******Use the print screen option to print your results.******* 35. What is an algorithm? http://searchvb.techtarget.com/sDefinition/0%2C%2Csid8_gci211545%2C00.html 36. List the steps for factoring using an algorithm. http://ellerbruch.nmu.edu/cs255/npaquett/trinomials2.html 37. Use the algorithm to solve the factoring problems found on the worksheet provided. The sheet may also be found here. http://www.conceptsapplications.com/comb_2/chapters/comb5_1-5_4.pdf