Factoring - Trinomial - last term negative.notebook

Factoring ­ Trinomial ­ last term negative.notebook
October 24, 2016
DO NOW
Factor. This will be collected. You have 7 minutes! GO!
1. x2 – 11x +28
*get a calculator*
2. 15x2 – 21x
3. x2 + 14x + 24
4. 16x2 – 64
5. (2x – 4)(x + 3) + (x + 3)(7 – x) Today in Algebra
I will be able to factor trinomials where the last term is negative
Reminder: monthly assignment due 10/28
"early bird special" due tomorrow 10/21 for BP
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Factoring ­ Trinomial ­ last term negative.notebook
October 24, 2016
Factoring Trinomials (last term ­)
Recall:
Multiply the following polynomials
a. (r + 4)(r – 7)
b. (a – 2)(a + 5)
To factor a Trinomial: * the factors of c must add to b 1. write two sets of parentheses, with x as the first term in each (x )(x )
2. List the factors of c, off to the side
3. eliminate factors that will not add up to b
4. place factors in parentheses with correct signs
5. check – distribute (box method)
**if the sign of c is negative, the signs of the factors will be different**
‐ if c is negative and b is positive, the bigger factor will be positive
‐ if c is negative and b is negative, the bigger factor will be negative
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Factoring ­ Trinomial ­ last term negative.notebook
Examples Factor
1. a2 + 6a – 27
October 24, 2016
2. x2 + 9x – 22
Lets Practice:
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Factoring ­ Trinomial ­ last term negative.notebook
October 24, 2016
Practice/You Try:
*use your assessment rings*
Worksheet
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Factoring ­ Trinomial ­ last term negative.notebook
October 24, 2016
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