Title: Factoring Trinomials with a Leading Coefficient of NOT 1 Swing and Divide Happy Birthday to: Cubby Wendt
1FactoringTrinomials with a Leading Coefficient
of NOT 1Swing and DivideHappy Birthday
toCubby WendtBrianna Fabby
November 11th
29.6 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
39.6 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)
49.6 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
59.6 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)
69.6 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
79.6 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
(n 5)(n 3)
89.6 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
99.6 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)
10Your turn!
f(x) (3x 2)(x 1)
11Your turn!
y (2m 7)(m 3)
12Types 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 2(x2 10x 16)
2(x 8)(x 2)
15Homework
16Homework