a. State how to find all possible zeros AND list all possible zeros b. State how to find how many possible POSITIVE roots exist AND list how many possible POSITIVE roots exist c. State how to find how many possible NEGATIVE roots exist AND list how many possible NEGATIVE roots exist

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 79E
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Find the roots (zeros) for P(x) = x – 6x³ + 9x² + 4x – 12.
a. State how to find all possible zeros AND list all possible zeros
b. State how to find how many possible POSITIVE roots exist AND list how
many possible POSITIVE roots exist
c. State how to find how many possible NEGATIVE roots exist AND list how
many possible NEGATIVE roots exist
d. Use synthetic division or long division to find the actual roots
e. Write P(x) in factored form
Transcribed Image Text:Find the roots (zeros) for P(x) = x – 6x³ + 9x² + 4x – 12. a. State how to find all possible zeros AND list all possible zeros b. State how to find how many possible POSITIVE roots exist AND list how many possible POSITIVE roots exist c. State how to find how many possible NEGATIVE roots exist AND list how many possible NEGATIVE roots exist d. Use synthetic division or long division to find the actual roots e. Write P(x) in factored form
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