50

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