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What do these have in common??. ALL ANIMALS. What do these have in common??. ALL FLY. What is the greatest common factor??. 36. 24. The number 12. What is the greatest common factor??. 5a. 35. The number 5. What is the greatest common factor??. 3y. -8xy. y.
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What do these have in common?? ALL ANIMALS
What do these have in common?? ALL FLY
What is the greatest common factor?? 36 24 The number 12
What is the greatest common factor?? 5a 35 The number 5
What is the greatest common factor?? 3y -8xy y
What is the greatest common factor?? -11x 22x2 11x
What is the greatest common factor?? -4x6-x4-2x2 -x2
Factoring means to write as a product Always look for a Greatest Common Factor 1st. Factor 4x + 6y What is their greatest common factor? = 2( ) 2x + 3y
Factor 3y – 8xy What is their GCF? = y( ) – 8x 3 2a3 – 6ab2 = 2a( ) a2 – 3b2
Factor 2h2k + 2k What is their GCF? = 2k( ) + 1 h2 6uv + 9v2 = 3v( ) 2u + 3v
Let’s practice!!!Little Worksheet (write PRIME if it cannot factor)
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
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
Ex: 1 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
Ex: 2 Factor x2-2x - 8 (x - 4) (x + 2) -8 -4 2 -2
Ex: 3 Factor x2 - 5x - 14 - 14 (x - 7) (x + 2) (x ) (x ) - 7 2 - 5
Ex: 4 Factor x2 - 16x + 64 64 (x ) (x ) (x - 8) (x - 8) Same thing as (x - 8)2 - 8 - 8 - 16
Ex: 5 Factor x2 - x - 42 - 42 (x - 7) (x + 6) (x ) (x ) - 7 + 6 - 1
Ex: 6 Solve the equation by factoring 12 x2 - 8x + 12 = 0 - 6 - 2 (x )(x ) = 0 -8 - 6 - 2 x - 6 = 0 or x – 2 = 0 x = 6 or x = 2
Ex: 7 Solve the equation by factoring x2 - 7 = - 6x - 7 x2 + 6x - 7 = 0 - 1 + 7 (x )(x ) = 0 6 - 1 + 7 x - 1 = 0 or x + 7 = 0 x = 1 or x = -7