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Published byCameron Clarissa Conley Modified over 5 years ago
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= x2 + 8x + 12 = x2 – 81 = x2 – 6x + 9 = 2x2 + 5x – 25 = x2 – 16
Warm-up (hw in the back of the door) Find the product. (x + 2)(x + 6) (x – 9)(x + 9) (x – 3)2 (2x – 5)(x + 5) (x + 4)(x – 4) = x2 + 8x + 12 = x2 – 81 = x2 – 6x + 9 = 2x2 + 5x – 25 = x2 – 16
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What do these have in common??
ALL ANIMALS
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What do these have in common??
ALL FLY
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What is the greatest common factor??
36 24 The number 12
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What is the greatest common factor??
35 The number 5
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What is the greatest common factor??
3y -8xy y
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What is the greatest common factor??
-11x 22x2 11x
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What is the greatest common factor??
-4x6-x4-2x2 -x2
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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
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= y( ) 3 – 8x = 2a( ) a2 – 3b2 Factor 3y – 8xy 2a3 – 6ab2
What is their GCF? = y( ) 3 – 8x 2a3 – 6ab2 = 2a( ) a2 – 3b2
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= 2k( ) h2 + 1 = 3v( ) 2u + 3v Factor 2h2k + 2k 6uv + 9v2
What is their GCF? = 2k( ) h2 + 1 6uv + 9v2 = 3v( ) 2u + 3v
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10.5 Factoring ax2 + bx + c when a = 1
What two numbers multiply to give you 8, but add to give you 6? 8 6
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Write two sets of parenthesis and fill in the numbers.
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… and add to give you the middle number? (x ) (x ) (x + 2) (x + 4) 6
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(x - 2) (x - 1) (x ) (x ) Factor x2 - 3x + 2 2 -2 -1 -3
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? -3
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Ex: 2 Factor x2 - 2x - 8 (x - 4) (x + 2) -8 -2
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Ex: 3 Factor x2 - 5x - 14 - 14 (x - 7) (x + 2) (x ) (x ) - 5
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(x ) (x ) (x - 8) (x - 8) Same thing as (x - 8)2
Ex: 4 Factor x2 - 16x + 64 64 (x ) (x ) (x - 8) (x - 8) Same thing as (x - 8)2 - 16
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Ex: 5 Factor x2 - x - 42 - 42 (x ) (x ) (x - 7) (x + 6) - 1
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Solve the equation by factoring
Ex: 6 12 x2 - 8x + 12 = 0 (x )(x ) = 0 -8 - 6 - 2 x - 6 = or x – 2 = 0 x = or x = 2
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Solve the equation by factoring
Ex: 7 x2 - 7 = - 6x - 7 x2 + 6x - 7 = 0 (x )(x ) = 0 6 - 1 + 7 x - 1 = or x + 7 = 0 x = or x = -7
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Let’s practice!!! Little Worksheet
(write PRIME if it cannot factor)
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