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Mastering Polynomials and Factoring: Midterm Review Guide

Get ready to refine your skills in polynomials and factoring ahead of the midterm! This review focuses on essential concepts, including multiplying, dividing, and raising variables to powers. Students will explore various factoring types: Trinomials, Factoring by Grouping, Difference of Squares, Perfect Square Trinomial, and Greatest Common Factor. To deepen understanding, each group will explain factoring techniques to peers. Don't forget to prepare for the midterm on Friday with the review packet and old tests!

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Mastering Polynomials and Factoring: Midterm Review Guide

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  1. Trash-ket-ballGet ready to show some skill! MIDTERM REVIEW UNIT 1 – POLYNOMIALS & FACTORING October 23rd

  2. Warm Up 10/23 Fill in the following sentences: • When you multiply like variables you ______ their exponents. • When you divide like variables you _______ their exponents. • When you raise a variable to a power you _________ the exponents. Write an example (or find one in your notes) of each of the following types of factoring problems: • Factoring a Trinomial (a= 1) • Factoring By Grouping • Difference of Squares • Perfect Square Trinomial • Greatest Common Factor

  3. TEAMS 3rd THERADICALS • Rhayne • Almas • Justice • Morgan • Melene • Jazmine • Thomas • Miya • Naiya • Tyrajah • Daron THE GREATER THANS THE EQUAL TOOS Maria C Guery Amber Labria Dagim • Allona • Omar • Kathya • Joseph • Leigha • Ahmad THE SOLUTIONS THE PROBLEM SOLVERS • Brooke • Symon • Noah • Jordan • Sunny • Maria A

  4. TEAMS 2nd THESOLUTIONS • Shemiah • Daniqua • Derrick • Madisyn • Jared • Nathan • Destiny • Kelly • Brenda • Montana THE GREATER THANS THE PROBLEM SOLVERS Anthony Kayla Luis Berenice Kristen • Rebecca • Donelle • Patrick • Diamond • Ahja THE RADICALS THE TRANSFORMATIONS • Dany • Darren • Gracia • Trevon • Theo

  5. You teach! • To quickly review the different types of factoring, each group will get an equations and give a BRIEF explanation of how to factor. • I will RANDOMLY choose two members to come up and teach---so EVERYONE in your group should be prepared!

  6. Group 1-Trinomials

  7. Group 2-Factoring By Grouping

  8. Group 3-Difference of Squares

  9. Group 4-Perfect Square Trinomial

  10. Group 5-GCF

  11. You know it works! • 1 pt for getting the question right • Group can choose between 1, 2, or 3 pointer shot • Each team member must shoot before repeating! Rotate!

  12. #1 • SIMPLIFY: • (4x5 + 11x3 - 5) + (-3x5+7)

  13. #2 • Find f(3) for f(x) = 4x2 – 5x + 7:

  14. #3 • FACTOR COMPLETELY:

  15. #4 • The number of cars sold in 1990 can be modeled by the expression 2x3 + 7x- 5. In 2010, the number of cars sold can be modeled by the expression 4x3 - 3. • Write an expression that modeled how many more cars were sold in 2010 than in 1990.

  16. #5 • If (x – 4) is a factor of x2 –x + w, then what is the value of w?

  17. #6 • Find 3 consecutive even integers whose sum is 90.

  18. #7

  19. #8 • FACTOR COMPLETELY:

  20. #9

  21. #10 Factor by grouping: 3x3 + 4x2 – 15x -20

  22. #11 FACTOR (GCF): 4x5y2 -24x3y

  23. #12 • Simplify:

  24. #13 FACTOR:

  25. #14 FACTOR:

  26. #15 • SIMPLIFY:

  27. #16 • FACTOR:

  28. #17 • SIMPLIFY

  29. #18 • SIMPLIFY:

  30. #19 • FACTOR BY GROUPING:

  31. #20 • BONUS SIMPLIFY!

  32. HOMEWORK • MIDTERM ON FRIDAY! • Study!!!! STUDY!!! STUDY!!!! • Review Packet • Old Tests*** • Notes

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