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Monday, March 10 th

Monday, March 10 th. Find the Product (x + 4)(x + 7) 2. (x + 14)(x + 2). A Look Ahead. Monday: Factoring GCF Tuesday: Factoring when a=1 Wednesday: Factoring when a≠1 Thursday: Review Factoring Friday: Quiz. Reminders. Next Test: Wednesday, March 20 th

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Monday, March 10 th

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  1. Monday, March 10th Find the Product (x + 4)(x + 7) 2. (x + 14)(x + 2)

  2. A Look Ahead Monday: Factoring GCF Tuesday: Factoring when a=1 Wednesday: Factoring when a≠1 Thursday: Review Factoring Friday: Quiz

  3. Reminders Next Test: Wednesday, March 20th • All Make up work for this unit is due then • Test #2 (Graphing Quadratics) retest needs to be completed by then.

  4. EOCT Week #10 What is the vertex of the graph of f(x) = + 10x – 9? A. (5, 66) B. (5, –9) C. (–5, –9) D. (–5, –34)

  5. Questions On Homework?!

  6. Graphing Graph the function y = x2 + 2x – 3 using a table. Then, find the x-intercepts, which we will call the zeroes for the rest of this unit. x = ___ and x = ___

  7. FACTORING https://www.youtube.com/watch?v=OFSrINhfNsQ

  8. Factoring=Writing Polynomial as a PRODUCT Goal = UNdistribute

  9. So, how would I work the other way?

  10. Today’s Method GCF

  11. Essential Skill-GCF GCF=GREATEST COMMON FACTOR Find the GCF for the following numbers • 12 and 24 • 6 and 12

  12. Steps to Factoring Out a GCF: • Find the GCF of all its terms (number and/or variables). • Write the polynomial as a product by factoring out the GCF from all the terms. • - This is done by dividing the original terms of the polynomial by the GCF. • The remaining factors in each term will form a polynomial.

  13. Find the GCF of each polynomial • 3x² + 9x • c³ + c² + c • 6k²-36k

  14. #1 2x2 – 16x + 24 2(x2 – 8x +12)

  15. You Try... 2. 3y2+ 36y + 60 3(y²+12y+20) 3.

  16. Prime Polynomials When one is only factoring out the GCF common factor that the expression is PRIME Example:

  17. Factoring

  18. Sign Rule: • When the last term is POSITIVE… • The signs inside the parenthesis will be the SAME as the middle number’s sign

  19. Figuring out the Numbers Check to see… What multiplies to give you the last number AND adds to give you the middle number?

  20. x2 +7x + 6 x2+7x + 6 ( )( ) x x + 6 + 1

  21. x2 + 9x + 14 x2+ 9x + 14 ( )( ) x x + 7 + 2

  22. x2 – 6x + 8 x2– 6x + 8 ( )( ) x x –4 – 2

  23. x2 – 10x + 16 x2– 10x + 16 ( )( ) x x – 8 – 2

  24. Sometimes you can factor out a GCF 1st!

  25. 2x2 – 16x + 24 2(x2 – 8x +12) 2( )( ) x x – 6 – 2

  26. You Try... 3y2 + 36y + 60 3(y +10)(y +2) 4x2 +24x + 32 4(x + 2)(x + 4)

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