MULTIPLYING POLYNOMIALS

1
MULTIPLYING POLYNOMIALS
MULTIPLYING TWO BINOMIALS
2
MULTIPLYING POLYNOMIALS
(5x 3)(2x 4)
10x2
First terms of each binomial
3
MULTIPLYING POLYNOMIALS
(5x 3)(2x 4)
10x2
20x
First terms of each binomial
Outer terms of each binomial
4
MULTIPLYING POLYNOMIALS
(5x 3)(2x 4)
10x2
20x
6x
First terms of each binomial
Outer terms of each binomial
Inner terms of each binomial
5
MULTIPLYING POLYNOMIALS
(5x 3)(2x 4)
10x2
20x
6x
12
First terms of each binomial
Outer terms of each binomial
Inner terms of each binomial
Last terms of each binomial
6
MULTIPLYING POLYNOMIALS
(5x 3)(2x 4)
10x2
20x
6x
12
F
First terms of each binomial
Outer terms of each binomial
O
Inner terms of each binomial
I
Last terms of each binomial
L
Firsts, Outers, Inners, Lasts
7
MULTIPLYING POLYNOMIALS
(5x 3)(2x 4)
10x2
20x
6x
12
12
10x2
26x
ADD LIKE TERMS
8
MULTIPLYING POLYNOMIALS
(x 7)(4x 3)
F
x(4x)
4x2
O
x(3)
3x
25x
7(4x)
28x
I
L
7(3)
21
4x2 25x - 21
9
MULTIPLYING POLYNOMIALS
Binomial X Trinomial
Use the Distributive Property
(m 7)(3m2 3m 5)
3m3
3m2
5m
10
MULTIPLYING POLYNOMIALS
Binomial X Trinomial
Use the Distributive Property
(m 7)(3m2 3m 5)
3m3
3m2
5m
21m2
21m
35
11
MULTIPLYING POLYNOMIALS
Binomial X Trinomial
Use the Distributive Property
(m 7)(3m2 3m 5)
3m3
3m2
5m
21m2
21m
35
3m3
24m2
12
MULTIPLYING POLYNOMIALS
Binomial X Trinomial
Use the Distributive Property
(m 7)(3m2 3m 5)
3m3
3m2
5m
21m2
21m
35
3m3
24m2
26m
13
MULTIPLYING POLYNOMIALS
Binomial X Trinomial
Use the Distributive Property
(m 7)(3m2 3m 5)
3m3
3m2
5m
21m2
21m
35
3m3
24m2
26m
35
14
FLASH CARDS
FOIL
WHAT DOES THE F STAND FOR?
FIRSTS
15
FLASH CARDS
FOIL
WHAT DOES THE O STAND FOR?
OUTERS
16
FLASH CARDS
FOIL
WHAT DOES THE I STAND FOR?
INNERS
17
FLASH CARDS
FOIL
WHAT DOES THE L STAND FOR?
LASTS
18
FLASH CARDS
FOIL
IN THE PROBLEM (x 3)(x 7), WHAT IS THE
ANSWER TO THE OUTERS?
-7x
19
FLASH CARDS
FOIL
IN THE PROBLEM (x 6)(x 2), WHAT IS THE
ANSWER TO THE LASTS?
-12
20
FLASH CARDS
FOIL
IN THE PROBLEM (2a 5)(3a 1), WHAT IS THE
ANSWER TO THE FIRSTS?
6a2
21
FLASH CARDS
FOIL
IN THE PROBLEM (4x 5)(x 1), WHAT IS THE SUM
OF THE OUTERS AND INNERS?
x
22
FLASH CARDS
FOIL
IN THE PROBLEM (3m 2)(4m 3), WHAT IS THE SUM
OF THE OUTERS AND INNERS?
-17m
23
FLASH CARDS
FOIL
SIMPLIFY (x 5)(x 7)
x2 2x - 35
24
FLASH CARDS
FOIL
SIMPLIFY (2x 3)(x 1)
2x2 5x 3
25
FLASH CARDS
MID-CHAPTER REVIEW
SIMPLIFY (5a2b3)2
HINT (5)2 (a2)2 (b3)2
25a4b6
click once for a hint
26
FLASH CARDS
MID-CHAPTER REVIEW
SIMPLIFY (22)2
16
27
FLASH CARDS
MID-CHAPTER REVIEW
SIMPLIFY (5a2b3)(-2ac3)
HINT add exponents
-10a3b3c3
click once for a hint
28
FLASH CARDS
MID-CHAPTER REVIEW
SIMPLIFY (x2y5)(xy3)2
HINT (xy3)2 first, then multiply.
x4y11
click once for a hint
29
FLASH CARDS
MID-CHAPTER REVIEW
HINT Move the y-1 to the numerator, then cube
everything
8x3y3
click once for a hint
30
FLASH CARDS
MID-CHAPTER REVIEW
HINT The answer is not 1
3
click once for a hint
31
FLASH CARDS
MID-CHAPTER REVIEW
HINT To change exponent to a positive, flip
the fraction
click once for a hint
32
FLASH CARDS
MID-CHAPTER REVIEW
Write 4.2 x 10 -3 in decimal notation
0.0042
33
FLASH CARDS
MID-CHAPTER REVIEW
Write 55,000 in scientific notation
5.5 x 104
34
FLASH CARDS
MID-CHAPTER REVIEW
2 x 10-10
35
FLASH CARDS
MID-CHAPTER REVIEW
5 x 105
36
FLASH CARDS
MID-CHAPTER REVIEW
What is the degree of 7a2b3c ?
6
37
FLASH CARDS
MID-CHAPTER REVIEW
What is the degree of 5x2y 3xy ?
3
38
FLASH CARDS
MID-CHAPTER REVIEW
Arrange 3x 5x3 2x2 9 in descending order.
5x3 2x2 3x 9
END