5 polynomial feb 22
TRANSCRIPT
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Review Factoring Trinomials
Factor the following:
c) 3x2 5x 12 d) 2x2 + 11x 5
e) 2x2 6 x +4
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Assignment from yesterday
Check your copies to be sure you can read the following questions:
31. 4x2 18x 1033. 3t4 + 9t2 +4t35. 12r2 + 27r +1537. 6 + 5y 4y2 39. 12 + 18t + 8t2
41. 6m2 + mn 2 n2
43. 10a2 3ab b245. 6c2 + 13cd +2d247. 6x2 9xy + 3y249. 4y2 + 4xy 8x2
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Special Products and Special Quadratics
Squaring binomials
Product of a sum and difference
Cube of a Binomial
Difference of squares
Perfect Squares
Difference of squares
Difference of cubes
Sum of cubes
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Squaring Binomials
(a + b)2 = a2 + 2ab + b2
(a b)2 = a2 2ab + b2
Example 1
Expand (3x +2y )2
Example 2
Expand (3x y )2
Perfect Square Trinomial
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Difference of Squares A polynomial of the form ( a2 b2). The factors of the difference of squares are ( a2 b2) = (a + b)( a b)
Example 3
Factor x2 25
Example 4
Factor 9x2 16
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Example 5 Removing a common factor
8x2 18y2
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Example 6
Is 4x2 + 20x + 25 a perfect square?
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Product of a sum and a difference
a2 b2 = (a + b)( a b)
Example 7
( 4x + 3y)(4x 3y)
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Cube of a Polynomial
Example 8
(x + 3 )3
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Assignment
page 133 questions 1 12 page 112 questions 14, 17 23 (odd), 31 42 (odd)page 141 questions 94
Quiz on Friday.