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1.
1
2.
2
3.
Review Factoring Trinomials Factor the following: c) 3x2 5x 12
d) 2x2 + 11x 5 e) 2x2 6 x +4 3
4.
4
5.
5
6.
Assignment from yesterday Check your copies to be sure you can read the following questions: 31. 4x2 18x 10 33. 3t4 + 9t2 +4t 35. 12r2 + 27r +15 37. 6 + 5y 4y2
41. 6m2 + mn 2 n2 39. 12 + 18t + 8t2 43. 10a2 3ab b2 45. 6c2 + 13cd +2d2 47. 6x2 9xy + 3y2 49. 4y2 + 4xy 8x2 6
7.
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 7
8.
Squaring Binomials (a + b)2 = a2 + 2ab + b2
Perfect Square Trinomial 2 2 2 (a b) = a 2ab + b Example 1 Expand (3x +2y )2 Example 2 Expand (3x y )2 8
9.
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
9
10.
Example 5 Removing a common factor 8x2 18y2
10
11.
Example 6 Is 4x2 + 20x + 25 a perfect square?
11
12.
Product of a sum and a difference a2 b2 = (a + b)( a b) Example 7 ( 4x + 3y)(4x 3y)
12
13.
Cube of a Polynomial Example 8 (x + 3 )3
13
14.
Assignment page 133 questions 1 12 page 112 questions 14, 17 23 (odd), 31 42 (odd) page 141 questions 94
Quiz on Friday. 14
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