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Warm-up (hw on desk)

Warm-up (hw on desk). Find the product. (x + 3)(x + 7) (x – 11)(x + 11) (x – 8) 2. = x 2 + 10x + 21. = x 2 – 121. = x 2 – 16x + 64. Factor. 4. 10x + 25 5. 18xy – 6y 6. 28x 2 + 35x. = 5(2x + 5). = 6y(3x – 1). = 7x(4x + 5). Math 1. Objectives:

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Warm-up (hw on desk)

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  1. Warm-up (hw on desk) Find the product. • (x + 3)(x + 7) • (x – 11)(x + 11) • (x – 8)2 = x2 + 10x + 21 = x2 – 121 = x2 – 16x + 64 Factor. 4. 10x + 25 5. 18xy – 6y 6. 28x2 + 35x = 5(2x + 5) = 6y(3x – 1) = 7x(4x + 5)

  2. Math 1 Objectives: 1. Continue factoring using GCF 2. Introduce factoring trinomials

  3. What is a Greatest Common Factor? The Greatest Common Factor is the largest number that will go into a group of numbers How do you find GCFs with Variables? Note: With variables, the GCF will always be the smallest exponent of a common variable

  4. Factoring means to write as a product Always look for a Greatest Common Factor 1st. 1. Factor 8x3y + 6xy2 What is their greatest common factor? = 2xy( ) 4x2 + 3y

  5. Factor 2. 12x4y2 – 20x3y4 What is their GCF? = 4x3y2( ) 3x – 5y2 3. 21a3b – 28a2b2 = 7a2b ( ) 3a – 4b

  6. Factor Each Polynomial using a GCF. 1. 2. 3. 4. 5. 6. 7. 8.

  7. Factoring Trinomials ax2 + bx + c Rules: 1. Multiply the 1st coefficient and the last coefficient and find the product. 2. Find factors that multiply to be the product and add to be the middle coefficient

  8. 10.5 Factoring ax2 + bx + c when a = 1 What two numbers multiply to give you 8, but add to give you 6? 8 2 4 6

  9. To FACTOR a trinomial means to write it as the product of two binomials. Factor x2+6x +8 8 Write two sets of parenthesis and fill in the numbers. What two numbers multiply to give you the last number… 2 4 and add to give you the middle number? (x + 2) (x + 4) (x ) (x ) 6

  10. Ex: 4 Factor x2-3x + 2 (x - 2) (x - 1) (x ) (x ) What two numbers multiply to give you the last number… 2 and add to give you the middle number? -2 -1 -3

  11. Ex: 5 Factor x2-2x - 8 (x - 4) (x + 2) -8 -4 2 -2

  12. Ex: 6 Factor x2 - 5x - 14 - 14 (x - 7) (x + 2) (x ) (x ) - 7 2 - 5

  13. Ex: 7 Factor x2 - 16x + 64 64 (x ) (x ) (x - 8) (x - 8) Same thing as (x - 8)2 - 8 - 8 - 16

  14. Ex: 8 Factor x2 - x - 42 - 42 (x - 7) (x + 6) (x ) (x ) - 7 + 6 - 1

  15. Practice!! Factor each Polynomial !!!

  16. Homeworkp. 599 12-32

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