Consider the following cubic polynomial function: p(x): = 2x32x29x - 5 d) Using the Rational Zero Theorem, synthetic division, and the quadratic formula, find the zeros. Enter the rational zero as an integer: A Enter the fully simplified irrational zeros in the form a ± √5 C , using integers for a, b, and c. a = A C = A b = A e) How many x-intercepts does the graph of this function have? Enter your answer as in integer: A f) Imagine a quartic polynomial function with zeros at x=2, -3, 1-i5. Enter the fourth zero with no spaces in your answer: A

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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Question
Consider the following cubic polynomial function:
p(x):
=
2x32x29x - 5
d) Using the Rational Zero Theorem, synthetic division, and the quadratic
formula, find the zeros.
Enter the rational zero as an integer:
A
Enter the fully simplified irrational zeros in the form a ±
√5
C
, using integers for
a, b, and c.
a =
A
C =
A
b =
A
e) How many x-intercepts does the graph of this function have? Enter your answer
as in integer:
A
f) Imagine a quartic polynomial function with zeros at x=2, -3, 1-i5.
Enter the fourth zero with no spaces in your answer:
A
Transcribed Image Text:Consider the following cubic polynomial function: p(x): = 2x32x29x - 5 d) Using the Rational Zero Theorem, synthetic division, and the quadratic formula, find the zeros. Enter the rational zero as an integer: A Enter the fully simplified irrational zeros in the form a ± √5 C , using integers for a, b, and c. a = A C = A b = A e) How many x-intercepts does the graph of this function have? Enter your answer as in integer: A f) Imagine a quartic polynomial function with zeros at x=2, -3, 1-i5. Enter the fourth zero with no spaces in your answer: A
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