Title: JERICHO HIGH SCHOOL
1JERICHO HIGH SCHOOL
Mrs. Jainchill
2Binomials
- Polynomials with exactly two terms.
3FOIL
- First
- Outside
- Inside
- Last
4First 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
10FACTORING (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)
11x2 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)
12x2 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)
13y2 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)
14y2 - 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)
15z2 - 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)
16y2 - 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)
17z2 - 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)
18x2 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)
19x2 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)
20x2 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)
21y2 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)
22x2 - 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)
23x2 - 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)
24x2 - 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)
25y2 - 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)
26Rule 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 This is the End of this slide presentation