Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in...
-
Upload
janis-wilkerson -
Category
Documents
-
view
215 -
download
0
Transcript of Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in...
![Page 1: Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in standard form when the values of the exponents are.](https://reader035.fdocuments.net/reader035/viewer/2022062801/56649e6b5503460f94b6899f/html5/thumbnails/1.jpg)
Warm UpSimplify.
1.
2. Solve using synthetic OR long division.
![Page 2: Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in standard form when the values of the exponents are.](https://reader035.fdocuments.net/reader035/viewer/2022062801/56649e6b5503460f94b6899f/html5/thumbnails/2.jpg)
5.3 Polynomial FunctionsA polynomial is written in standard form when the values of the exponents are in descending order.
The degree of a polynomials is the value of the greatest exponent.
The coefficient of the variable with the greatest exponent is called the leading coefficient
![Page 3: Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in standard form when the values of the exponents are.](https://reader035.fdocuments.net/reader035/viewer/2022062801/56649e6b5503460f94b6899f/html5/thumbnails/3.jpg)
5.3 Polynomial FunctionsA polynomial function is a continuous function that can be described by a polynomial equation in one variable. For example…
![Page 4: Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in standard form when the values of the exponents are.](https://reader035.fdocuments.net/reader035/viewer/2022062801/56649e6b5503460f94b6899f/html5/thumbnails/4.jpg)
Polynomials Functions
Find and for each function.
1.
2.
![Page 5: Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in standard form when the values of the exponents are.](https://reader035.fdocuments.net/reader035/viewer/2022062801/56649e6b5503460f94b6899f/html5/thumbnails/5.jpg)
You Try!
Find and for each function.
1.
2.
![Page 6: Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in standard form when the values of the exponents are.](https://reader035.fdocuments.net/reader035/viewer/2022062801/56649e6b5503460f94b6899f/html5/thumbnails/6.jpg)
ExamplesState the degree and leading coefficient of each polynomial.
1.
2.
3.
![Page 7: Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in standard form when the values of the exponents are.](https://reader035.fdocuments.net/reader035/viewer/2022062801/56649e6b5503460f94b6899f/html5/thumbnails/7.jpg)
ZerosThe number of real zeros can be determined by looking at the graph.
Zeros are the x-intercepts.
![Page 8: Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in standard form when the values of the exponents are.](https://reader035.fdocuments.net/reader035/viewer/2022062801/56649e6b5503460f94b6899f/html5/thumbnails/8.jpg)
Number of ZerosState the number of zeros.
![Page 9: Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in standard form when the values of the exponents are.](https://reader035.fdocuments.net/reader035/viewer/2022062801/56649e6b5503460f94b6899f/html5/thumbnails/9.jpg)
ExamplesFor each graph, • Describe the end behavior,• Determine whether it represents a positive or a negative
function, and • State the number of real zeros.
![Page 10: Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in standard form when the values of the exponents are.](https://reader035.fdocuments.net/reader035/viewer/2022062801/56649e6b5503460f94b6899f/html5/thumbnails/10.jpg)
ExamplesFor each graph, • Describe the end behavior,• Determine whether it represents a positive or a negative
function, and • State the number of real zeros.
![Page 11: Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in standard form when the values of the exponents are.](https://reader035.fdocuments.net/reader035/viewer/2022062801/56649e6b5503460f94b6899f/html5/thumbnails/11.jpg)
ExamplesFor each graph, • Describe the end behavior,• Determine whether it represents a positive or a negative
function, and • State the number of real zeros.
![Page 12: Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in standard form when the values of the exponents are.](https://reader035.fdocuments.net/reader035/viewer/2022062801/56649e6b5503460f94b6899f/html5/thumbnails/12.jpg)
ExamplesState the degree, leading coefficient, and end behavior of each polynomial.1.
2.
3.
4.
![Page 13: Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in standard form when the values of the exponents are.](https://reader035.fdocuments.net/reader035/viewer/2022062801/56649e6b5503460f94b6899f/html5/thumbnails/13.jpg)
You Try!State the degree, leading coefficient, and end behavior of each polynomial.1.
2.
3.
4.