Factor Completely and Find Zero | California State University, Northridge - Edubirdie

University:
California State University, Northridge
Course:
ACCT 220 | Introduction to Financial Accounting
Academic year:

2024
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Pages:

2
Author:

gaurav boparai

Advanced Algebra Name:__________________________________ Chapter 7D Polynomial Functions Solve Polynomial Equations Given a Zero – Homework Period ______ Date _______________________ 1. Synthetic division has been used to divide 𝑓(𝑥) = 𝑥 4 − 5𝑥 2 + 8𝑥 − 2 𝑏𝑦 (𝑥 + 3)[see right.] Explain what the numbers circled in the division problem represent. 2. Given a polynomial 𝑓(𝑥) = 12𝑥 3 − 19𝑥 2 − 12𝑥 + 4. Use the graph to find one of the zeros. Find the exact values of the remaining zeros algebraically, where 𝑓(𝑥) = 0. In 3 – 4, given polynomial 𝑓(𝑥) and a factor of 𝑓(𝑥), find the remaining factors and zeros of 𝑓(𝑥). 3. 𝑓(𝑥) = 𝑥 3 + 2𝑥 2 − 51𝑥 + 108; (𝑥 + 9) 4. 𝑓(𝑥) = 2𝑥 3 − 15𝑥 2 + 34𝑥 − 21, (𝑥 − 1) Factors of 𝑓(𝑥) = ___________________________ Factors of 𝑓(𝑥) = ___________________________ Zeros of 𝑓(𝑥): _________________________________________ Zeros of 𝑓(𝑥): _________________________________________ In 5 – 6, given polynomial 𝑓(𝑥) and a zero of 𝑓(𝑥), find the remaining factors and zeros of 𝑓(𝑥). 5. 𝑓(𝑥) = 𝑥 3 − 2𝑥 2 − 21𝑥 − 18; 𝑓(−3) = 0 6. 𝑓(𝑥) = 10𝑥 3 − 81𝑥 2 + 71𝑥 + 42; 𝑓(7) = 0 Factors of 𝑓(𝑥): ___________________________ Factors of 𝑓(𝑥): __________________________ Zeros of 𝑓(𝑥): _________________________________________ Zeros of 𝑓(𝑥): ________________________________________ 7.Given a polynomial 𝑓(𝑥) = 𝑥 4 − 13𝑥 2 − 6𝑥 + 18. Use the graph to factor the polynomial completely then calculate the zeros. Factors of 𝑓(𝑥): ___________________________ Zeros of 𝑓(𝑥): _________________________________________ 8. Given a polynomial 𝑓(𝑥) = 4𝑥 3 − 8𝑥 2 − 15𝑥 + 9. Use the graph to find one of the zeros. Find the exact values of the remaining zeros, where 𝑓(𝑥) = 0.

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