Polynomial Functions Worksheet
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1
2Alg 2 PAP Sec 5.5 Part 1 Homework
Name ___________________________Per_____
Write a possible polynomial function in standard form based on the graph below.
1.
___________________________________
2. �� ( �� ) = −(�� + 4)(�� + 4)(�� + 4).
3. �� ( �� ) = ( �� − 2 ) (�� − 1)(�� − 1)(2�� + 5)
Consider the following functions in factored form. Sketch a graph based on multiplicity and end behavior.
6
4
4
2
2
−8
−6
−4
−2
2
4
−8
−6
−4
−2
2
4
6
8
−2
−2
−4
−4
−6
4. Write the simplest polynomial in standard form that has zeros of 1 and -3 with multiplicity 2.
_________________ 5. ��
+ ��
− 6�� = 0
��
Solve each polynomial equation. Identify roots with multiplicity.
��
+ 3
− 9�� = 27
3
2
2
3
_______________6.
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