Chapter 5.5(b) The GCF and Factoring by Grouping.notebook
February 01, 2017
Bellwork:
2) Multiply: (3x ­ 2)(4x2 + 2x ­ 7)
1) Simplify: Homework Questions???
Factor out the GCF.
3) 4x2 + 8x + 12
4) 9a3b ­ 6a2 + 12a
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Jan 20­7:54 AM
At times the greatest common factor is not a monomial or single term but another polynomial.
Chapter 5.5(b) The GCF and Factoring by Grouping.
Factor polynomials by grouping.
1) Factor
a. 3(x + 7) + 5y(x + 7)
b. 5a(3a ­ 2) ­ 7(3a ­ 2)
c. 6a(2a + 3b) ­ (2a + 3b)
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Jan 20­7:55 AM
Factoring by Grouping: group terms of the polynomial together and look for common factors of each group.
Example 2: Factor by Grouping.
5x3 + 40x2 + 7x + 56
Example: Factor by Grouping.
xy ­ 5y + 3x ­ 15
1st: Look for a GCF.
2nd: Group the first two terms and the last two terms together.
1st: Look for a GCF.
2nd: Group the first two terms and the last two terms together.
3rd: Factor out common factors from each group.
3rd: Factor out common factors from each group.
4th: Look for GCF between the groups.
4th: Look for GCF between the groups.
5th: Check answer by multiplying.
5th: Check answer by multiplying.
Jan 20­7:57 AM
Jan 20­7:57 AM
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Chapter 5.5(b) The GCF and Factoring by Grouping.notebook
2) Factor by Grouping:
a. y3 + 6y2 + 4y + 24
February 01, 2017
3) Factor by Grouping:
If there is a negative where you split the groups, change it to adding the opposite 1st!
a. a2b2 + a2 ­ 3b2 ­ 3
b. ab + 5a ­ b ­ 5
b. 2ab ­ 4a + 3b ­ 6
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Jan 20­8:06 AM
4) Factor by Grouping:
a. 4x3 ­ 2x2 + 8x ­ 4
Homework
b. 6x4 ­ 42x3 + 9x2 ­ 63x
Jan 19­3:57 PM
Factoring by Grouping
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Jan 20­9:21 AM
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