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3.5 mult binomials.notebook
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http://www.youtube.com/watch?v=fGy9UMSm_M
http://www.youtube.com/watch?v=4fyMQok2OzI
http://www.youtube.com/watch?v=mjYYbwuued0
Area model for Mult. 2digit numbers.
Area model for Mult. binomials.
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See page 160 for example.
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c 4
c
2
(c)(c)=c2
(2)(c)=2c
(c)(4)=4c
(2)(4)=8
so, (c+4) (c+2) = C2 + 2c + 4c + 8
= c2 + 6c + 8
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c2 + 6c + 8 c2 + 7c + 12
c2 + 8c + 16 c2 + 9c + 20
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The coefficient of the c2term is the product of the coefficients of the cterms in each factor..... 1 . 1 = 1
The constant term is the product of the constants in each factor.....4 . 2 = 8
The coefficient of the cterm is the sum of the constant terms in each factor........4 + 2 = 6
(c+4) (c+2) = (1)c2 + 6c + 8
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Pg 161
Verify your solution.
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End of Lesson
See 3.5 Polynomials of the form x^2 + bx + c for factoring trinomials
Practice:Page 1667 #5, 9. 12
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Pg 169
Verify your solution.
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Pg. 170
Verify your solution.
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Practice:
Page 1667 #5, 9. 12Page 177 #5, 6(abf), 8, 9(acf), 10(abc)
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John passed in the following homework questions. His teacher told him two of the three answers contained errors. Help John find and correct the errors. Give mathematical proof to support your choices.
1) (x 7)(x 3) = x2 3x 7x 21 = x2 10x 21
2) (5m 1)(m + 5) = 5m2 + 10m m 5 = 5m2 + 10m 5
3) (8d 2)(8d + 2) = 64d2 + 16d 16d 4 = 64d2 4
Exit Slip