Download Algebra 2 Ch.5 Notes Page 19 Factoring  ­ (Opposite of Distributing)

A25­4NotesPart1.notebook
September 16, 2015
Algebra 2
Ch.5 Notes Page 19
P19 5­4 Factoring Quadratic Expressions (Part 1)
Aug 19­6:20 AM
Factoring ­ (Opposite of Distributing)
Rewriting an expression as the product of its factors.
Numbers are factors if the first divides evenly into the second. Greatest Common Factors
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4x + 20x ­12
2
9n ­ 24n
Sep 22­9:21 AM
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A25­4NotesPart1.notebook
September 16, 2015
ax2 + bx + c
Find two numbers that Add to b and Multiply to ac
1x2 ­ 7x + 12
1x2 + 6x + 8
2 and 4
­3 and ­4
Oct 8­7:09 AM
ax2 + bx + c
Find two numbers that Add to b and Multiply to ac
x2 ­ x ­ 12
ac = ­12
b = ­1
(x + 3)( x ­ 4)
Oct 11­9:10 AM
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A25­4NotesPart1.notebook
September 16, 2015
ax2 + bx + c
Find two numbers that Add to b and Multiply to ac
2x2 ­ 11x + 15
Factoring a ≠1
Since ac = Positive
and b = Negative
Find two Negatives that add to b
Rewrite b as...
2x2 + ­5x + ­6x + 15
Factor
Oct 11­9:10 AM
ax2 + bx + c
Find two numbers that Add to b and Multiply to ac
Factoring a ≠1
Since ac = Negatvie
and b = Positive
Find Pos/Neg that add to b
2x2 + x ­ 28
Rewrite b as...
2x2 + ­7x + 8x + ­28
Factor
Sep 16­1:53 PM
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A25­4NotesPart1.notebook
September 16, 2015
Factoring ­ Examples
2x2 + 5x + 2
6x2 + 23x + 7
Feb 5­2:23 PM
Factoring ­ Examples
5x2 ­ 14x ­ 3
7x2 ­ 26x ­ 8
Feb 5­2:23 PM
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A25­4NotesPart1.notebook
September 16, 2015
HW #19
5­4 P263 #1,3,5,7,8,13,14,19,20,25,26,31,32
Please put your name and class period at the top of the homework. Also include the homework number.
Aug 19­6:25 AM
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