| Algebra 1 Notes
Chapter Six
Section 6.1
Section 6.2
Section 6.3
Section 6.4
Section 6.5
Section 6.6
Section 6.7
Section 6.8
Section 6.9
Section 6.9
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Section
6.5 Factoring ax2
+ bx + c
(Examples provided by Prentice
Hall)
Part I: Constant Term Positive
Factor.
Part I: Factoring ax2 + bx + c
| Example
1 |
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21x2
+ 13x + 2
There are no common factors.
Here are a few
of the possible trial factorizations of the polynomial.
(1x +
1)(21x + 2), No
(3x +
2)(7x + 1), No
(3x +
1)(7x + 2) Yes
The third
possibility checks.
The required
factorization is (3x + 1)(7x + 2).
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| Example
2 |
8x2
+ 14x + 3
Here are a few possibilities.
(1x + 1)(8x + 3), No
(2x +
1)(4x + 3), No
(2x +
3)(4x + 1), Yes
The third
factorization gives the proper middle term.
The required
factorization is (2x + 3)(4x + 1).
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| Example
3 |
18x2
+ 36x – 14
Factor out the common factor 2,
2(9x2
+ 18x – 7).
This factors
into 2(3x – 1)(3x + 7).
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Take class notes.
Before starting your homework, rework the
examples that are illustrated in this section of your textbook and the
examples that I demonstrated in class.
Then do your homework.
Write down questions (examples or concept
that you do not understand).......then.............. Ask these questions
in class.
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