Algebra 1B Notes - Weebly
Name: __________________________________________ Date: _____________________________
Naming, Evaluating, and Combining Functions
[pic]
Polynomials are named according to their ____________ and ____________________.
|For a polynomial with one variable, the degree is the ____________ exponent |Terms are separated by __________ or _____________. |
|of that variable. | |
|Degree |Name |Example |Terms |Name |Example |
|0 | | |1 | | |
|1 | | |2 | | |
|2 | | |3 | | |
|3 | | |4+ | | |
|4 | | |Examples: |
| | | |[pic] |
| | | |3 |
| | | |2x + 4 |
|5 | | | |
[pic]Standard Form
← The terms of a polynomial are in standard form if they are ordered from left to right in ___________________ order; which means from the _________________ exponent to the least.
← The coefficient of the first term is called the ___________________________________.
← Example: Write [pic]in Standard Form: ______________________________
← Example: Write [pic] in Standard Form: _______________________
[pic]You try:
|Polynomial |Standard Form |Degree |# of Terms |NAME |
|[pic] | | | | |
|[pic] | | | | |
|[pic] | | | | |
|[pic] | | | | |
[pic]
[pic]
Adding Polynomials: _________________________________________
1. [pic]
Subtracting Polynomials: ___________________________________________
2. [pic]
[pic]
You Try
3. [pic]
4. [pic]
[pic]
Multiplying Polynomials: _____________________. To multiply variables, we need to _______ the exponents.
5. [pic]
1. [pic]
2. [pic]
3. [pic]
[pic]
Combining Functions
f(x) = 2x – 4 g(x) = x2 + 3x h(x) = 3x – 4
1. Find g(x) – h(x)
2. Find 2f(x) - 3g(x)
3. Find f(x)( g(x)
[pic]
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