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JERICHO HIGH SCHOOL

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Double Bubble (x 5)(x 1) x2 7x 12 (click to proceed) ... Double Bubble: Write as product of 2 binomials. This is the End of this presentation ... – PowerPoint PPT presentation

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Title: JERICHO HIGH SCHOOL


1
JERICHO HIGH SCHOOL
Mrs. Jainchill
2
Binomials
  • Polynomials with exactly two terms.

3
FOIL
  • First
  • Outside
  • Inside
  • Last

4
First Example
(x 5) (x 2)
5
(x 5) (x 2)
First
6
(x 5) (x 2)
Outside
7
(x 5) (x 2)
Inside
8
(x 5) (x 2)
Last
9
(x 5) (x 2) (click to proceed)

x2 2x 5x 10
First Outside Inside
Last
x2 7x 10
10
FACTORING (click to proceed)
x2 6x 5
5 1,5
1. Find the factors of the last term
2. Which will add or subtract to the middle term
1 and 5 add to become 6 middle term
Double Bubble (x 5)(x 1)
11
x2 7x 12 (click to
proceed)
_12_ 1,12 2, 6 3, 4
  • 1. Find the factors of the last term

2. Which will add or subtract to the middle term
Only the 3 and 4 will add to 7 the middle term
3. Double Bubble (x 3)(x 4)
12
x2 9x 18
(click to proceed)
_18_ 1,18 2, 9 3, 6
  • 1. Find the factors of the last term

2. Which will add or subtract to the middle term
Only the 3 and 6 will add to 9 the middle term
3. Double Bubble (x 3)(x 6)
13
y2 5y 6
(click to proceed)
_6_ 1, 6 2,3
  • Find the factors of the last term
  • that multiply to 6

2. Which will add or subtract to the middle term
5
Only the 2 and 3 will add to 5 the middle term
3. Double Bubble (y 3)(y 2)
14
y2 - 8y 15
_15_ 1, 15 3, 5
  • Find the factors of the last term 15
  • Which will add or subtract to the middle term
  • -8

Only the -3 and -5 will add to -8 the middle term
3. Double Bubble (y - 3)(y - 5)
15
z2 - 15z 36
_36_ 1, 36 2, 18 3, 12 4, 9 6, 6
  • 1. Find the factors of the last term

2. Which will add or subtract to the middle term
Only the -3 and -12 will add to -15 the middle
term
3. Double Bubble (z - 3)(z - 12)
16
y2 - 5y 6
_6_ 1, 6 2, 3
  • 1. Find the factors of the last term 6

2. Which will add or subtract to the middle term
-5
Only the -2 and -3 will add to -5 the middle term
3. Double Bubble (y - 2)(y - 3)
17
z2 - 14z 24
_24_ 1, 24 2, 12 3, 8 4, 6
  • 1. Find the factors of the last term

2. Which will add or subtract to the middle term
Only the -2 and -12 will add to -14 the middle
term
3. Double Bubble (z - 2)(z - 12)
18
x2 6x - 7
_7_ 1, 7
  • 1. Find the factors of the last term

2. Which will add or subtract to the middle term
Only the 1 and 7 will subtract to be 6, since
(-1) (7) 6 which is the middle term
3. Double Bubble (x - 1)(x 7)
19
x2 2x - 8
_8_ 1, 8 2, 4
  • 1. Find the factors of the last term

2. Which will add or subtract to the middle term
Only the 2 and 4 will subtract to be 2, since
(-2) (4) 2 which is the middle term
3. Double Bubble (x - 2)(x 4)
20
x2 1x - 12
_12_ 1, 12 2, 6 3, 4
  • 1. Find the factors of the last term

2. Which will add or subtract to the middle term
The 3 and 4 will subtract to be 1, since (-3)
(4) 1 which is the middle term
3. Double Bubble (x - 3)(x 4)
21
y2 5y - 6
_6_ 1, 6 2, 3
  • 1. Find the factors of the last term

2. Which will add or subtract to the middle term
The 1 and 6 will subtract to be 5, since (-1)
(6) 5 which is the middle term
3. Double Bubble (y - 1)(y 6)
22
x2 - 11x - 12
_12_ 1, 12 2, 6 3, 4
  • 1. Find the factors of the last term

2. Which will add or subtract to the middle term
The 1 and 12 will subtract to be 1, since (1)
(-12) -11 which is the middle term
3. Double Bubble (x 1)(x - 12)
23
x2 - 16x - 36
_36_ 1, 36 2, 18 3, 12 4, 9 6, 6
  • 1. Find the factors of the last term

2. Which will add or subtract to the middle term
The 2 and 18 will subtract to be 16, since (2)
(-18) -16 which is the middle term
3. Double Bubble (x 2)(x - 18)
24
x2 - 5x - 36
_36_ 1, 36 2, 18 3, 12 4, 9 6, 6
  • 1. Find the factors of the last term

2. Which will add or subtract to the middle term
The 4 and 9 will subtract to be 5, since (4)
(-9) -5 which is the middle term
3. Double Bubble (x 4)(x - 9)
25
y2 - 25
_25_ 1, 25 5, 5
  • 1. Find the factors of the last term

2. Which will add or subtract to the middle term
The 5 and 5 will subtract to be 0, since (5)
(-5) 0 which is the middle term
3. Double Bubble (y 5)(y - 5)
26
Rule To Factor a Trinomial
1. Find the factors of the last term
  • Find out which factors add or subtract to the
    middle term
  • If the last term is positive signs of
    factors will be the same.
  • If the last term is negative signs of
    factors will be different
  • Double Bubble Write as product of 2 binomials
  • ( )( )

27

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