Factoring Trinomials with a Leading Coefficient of NOT 1 Swing and Divide Happy Birthday to: Cubby Wendt - PowerPoint PPT Presentation

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Factoring Trinomials with a Leading Coefficient of NOT 1 Swing and Divide Happy Birthday to: Cubby Wendt

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Factoring Trinomials with a Leading Coefficient of NOT 1 Swing and Divide ... Swing and Divide Step 2: Factor the trinomial using a T-chart like last class. – PowerPoint PPT presentation

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Title: Factoring Trinomials with a Leading Coefficient of NOT 1 Swing and Divide Happy Birthday to: Cubby Wendt


1
FactoringTrinomials with a Leading Coefficient
of NOT 1Swing and DivideHappy Birthday
toCubby WendtBrianna Fabby
November 11th
2
9.6 Factoring with Swing and Divide
Factor trinomials with a leading coefficient NOT equal to 1. EX 1 2x2 11x 5
How Swing and Divide Solution
2x2 11x 5 x2 11x 10
Step 1 Swing the leading coefficient to the
back and multiply
3
9.6 Factoring with Swing and Divide
Factor trinomials with a leading coefficient NOT equal to 1. EX 1 2x2 11x 5
How Swing and Divide Step 2 Factor the trinomial using a T-chart like last class. Solution x2 11x 10 10
-1 -10 -2 -5
(x 1)(x 10)
4
9.6 Factoring with Swing and Divide
Factor trinomials with a leading coefficient NOT equal to 1. EX 1 2x2 11x 5
How Swing and Divide Step 3 Divide the numbers by what you swung. Reduce what you can. Solution x2 11x 10 (x 1)(x 10) 2 2
(x 1)(x 5) 2
5
9.6 Factoring with Swing and Divide
Factor trinomials with a leading coefficient NOT equal to 1. EX 1 2x2 11x 5
How Swing and Divide Step 4 Swing the denominator to the front of that binomial. Solution x2 11x 10 (x 1)(x 5) 2
(2x 1)(x 5)
6
9.6 Factoring with Swing and Divide
Factor trinomials with a leading coefficient NOT equal to 1. EX 2 5n2 2n 3
How Swing and Divide Solution
5n2 2n 3 n2 2n 15
Step 1 Swing the leading coefficient to the
back and multiply
7
9.6 Factoring with Swing and Divide
Factor trinomials with a leading coefficient NOT equal to 1. EX 2 5n2 2n 3
How Swing and Divide Step 2 Factor the trinomial using a T-chart like last class. Solution n2 2n 15 -15
  • -15
  • -1 15
  • -5
  • -3 5

(n 5)(n 3)
8
9.6 Factoring with Swing and Divide
Factor trinomials with a leading coefficient NOT equal to 1. EX 2 5n2 2n 3
How Swing and Divide Step 3 Divide the numbers by what you swung. Reduce what you can. Solution n2 2n 15 (n 5)(n 3) 5 5
(n 1)(n 3) 5
9
9.6 Factoring with Swing and Divide
Factor trinomials with a leading coefficient NOT equal to 1. EX 2 5n2 2n 3
How Swing and Divide Step 4 Swing the denominator to the front of that binomial. Solution n2 2n 15 (n 1)(n 3) 5
(n 1)(5n 3)
10
Your turn!
  • EX 3 f(x) 3x2 5x 2

f(x) (3x 2)(x 1)
11
Your turn!
  • EX 4 y 2m2 m 21

y (2m 7)(m 3)
12
Types of Factoring So Far.
  • Take out a GCF
  • 10x2 12x 2x(5x 6)
  • Trinomials with leading coefficient 1
  • x2 5x 4 (x 4)(x 1)
  • Trinomials with leading coefficient 1
  • 2x2 5x 3 (2x 1)(x 3)

13
  • For some problems more than one type of factoring
    must be used.
  • Example 2x2 20x 32
  • This is a trinomial with a leading coefficient of
    2, so maybe we should use swing and divide -- but
    there is also a GCF of 2. Which should we do
    first?
  • Always do GCF first?

14
  • EX 5 2x2 20x 32

2(x2 10x 16)
2(x 8)(x 2)
15
Homework
  • WS

16
Homework
  • pg 596 9-12, 15-19, 22,
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