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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