mpc 095 module c: polynomials - amazon s3 · exponents – negative exponents ... convert to...
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MPC 095 Module C: Polynomials
51
Exponents – Product Rule
·
Product Rule: ·
Example A
2 4 3
Example B
5 2
Practice A
Practice B
52
Exponents – Quotient Rule
Quotient Rule:
Example A
Example B
86
Practice A
Practice B
53
Exponents – Power Rules
Power of a Product:
Power of a Quotient:
Power of a Power:
Example A
5
Example B
59
Practice A
Practice B
54
Exponents - Zero
Zero Power Rule:
Example A
5
Example B
3 5
Practice A
Practice B
55
Exponents – Negative Exponents
Negative Exponent Rules:
Example A
73
Example B
25
Practice A
Practice B
56
Exponents - Properties
1
To simplify:
Example A
4 2
Example B
2
Practice A
Practice B
57
Scientific Notation - Convert
10
x
x
x positive
x negative
Example A
Convert to Standard Notation
5.23 10
Example B
Convert to Standard Notation
4.25 10
Example C
Convert to Scientific Notation
8150000
Example C
Convert to Scientific Notation
0.00000245
Practice A
Practice B
Practice C
Practice D
58
Scientific Notation – Close to Scientific
Put number ___________________________________
Then use ________________________________ on the 10’s
Example A
523.6 10
Example B
0.0032 10
Practice A
Practice B
59
Scientific Notation – Multiply/Divide
Multiply/Divide the ____________________________________
Use _______________________________ on the 10’s
Example A
3.4 10 2.7 10
Example B
5.32 101.9 10
Practice A
Practice B
60
Scientific Notation – Multiply/Divide where answer not scientific
If your final answer is not in scientific notation ______________________________________
Example A
6.7 10 5.2 10
Example B
2.352 108.4 10
Practice A
Practice B
61
Polynomials - Evaluate
Term:
Monomial:
Binomial:
Trinomial:
Polynomial:
Example A
5 2 6 when 2
Example B
2 7 when 4
Practice A
Practice B
62
Polynomials – Add/Subtract
To add polynomials:
To subtract polynomials:
Example A
5 7 9 2 5 14
Example B
3 4 7 8 9 2
Practice A
Practice B
63
Polynomials – Multiply by Monomials
To multiply a monomial by polynomial:
Example A
5 6 2 5
Example B
3 6 2 7
Practice A
Practice B
64
Polynomials – Multiply by Binomials
To multiply a binomial by a binomial:
This process is often called _________ which stands for ___________________________________
Example A
4 2 5 1
Example B
3 7 2 8
Practice A
Practice B
65
Polynomials – Multiply by Trinomials
Multiplying trinomials is just like ________________ we just have ____________________________
Example A
2 4 3 5 1
Example B
2 6 1 4 2 6
Practice A
Practice B
66
Polynomials – Multiply Monomials and Binomials
Multiply _________________________ first, then __________________ the ___________________
Example A
4 2 4 3 1
Example B
3 6 2 5
Practice A
Practice B
67
Polynomials – Sum and Difference
Sum and Difference Shortcut:
Example A
5 5
Example B
6 2 6 2
Practice A
Practice B
68
Polynomials – Perfect Square
Perfect Square Shortcut:
Example A
4
Example B
2 7
Practice A
Practice B
69
Division – By Monomials
Long Division Review:
5|2632
Example A
3 18 93
Example B
15 25 55
Practice A
Practice B
70
Division – By Polynomials
On division step, only focus on the _______________________
Example A
2 15 304
Example B
4 6 12 82 1
Practice A
Practice B
71
Division – Missing Terms
The exponents MUST ______________________________
If one is missing we will add ______________
Example A
3 50 44
Example B
2 4 93
Practice A
Practice B
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