objective - to recognize and use the factoring pattern, difference of squares. multiply. 1) 2) 3) 4)...
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Objective - To recognize and use the factoring pattern, Difference of Squares.
Multiply.1)
2)
3)
4)
(x 3)(x 3)
(m 7)(m 7)
(y 10)(y 10)
(t 8)(t 8)
2x 9 2m 49 2y 100
2t 64
Inner and Outer terms cancel!
Factor.1)
2)
3)
4)
2x 92m 49
2y 1002t 64
(x 3)(x 3)
(m 7)(m 7)
(y 10)(y 10)
(t 8)(t 8)
5)
6)
7)
2 2x y216 k
2p 1
(x y)(x y)
(4 k)(4 k)
(p 1)(p 1)
Factoring Polynomials
Five Types of Factoring
1) Greatest Monomial Factor
2) Difference of Squares
3) Perfect Square Trinomial
4) Trinomial Factoring : 2x bx c
5) Trinomial Factoring : 2ax bx c
1) Greatest Monomial Factor
2) Difference of Squares
Difference of Squares?
2a 25Factor.
(a 5)(a 5)
PerfectSquare
PerfectSquareminus
List the perfect squares from 1 to 200.149
16
25364964
81100121144
169196
Factor.1)
2)
3)
4)
5)
6)
7)
8)
2x 81
29m 121
216 49k
4k 4
2t 50
24x 49
236y 1
216x 25
(x 9)(x 9)
(3m 11)(3m 11)
(4 7k)(4 7k)
2 2(k 2)(k 2)
Not Factorable
(2x 7)(2x 7)
(6y 1)(6y 1)
Not Factorable
Factor completely.1)
2)
22x 5022(x 25)
2(x 5)(x 5)
Greatest Monomial Factor
Difference of Squares
4m 12 2(m 1)(m 1)
2(m 1)(m 1)(m 1) Difference of Squares
Difference of Squares
Factor completely.1)
2)
23y 27
4x 81
3)
4)
65m 20
45y 80
23(y 9)
3(y 3)(y 3)
2 2(x 9)(x 9) 2(x 9)(x 3)(x 3)
65(m 4)3 35(m 2)(m 2)
45(y 16)2 25(y 4)(y 4)
25(y 4)(y 2)(y 2)
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