Consider the following function. Function Factors f(x) = 8x4 - 6x3 - 165x237x + 60 (x + 4), (x - 5) (a) Verify the given factors of f(x). (x + 4) -4 8 (x - 5) X = -6 -165 -37 @ -32 152 8 -38 -13 -6 8 34 5 (b) Find the remaining factor(s) of f(x). (Enter your answers as a comma-separated list. Do not use any fractions or decimals in your answer.) 58 -6 -165 -37 60 40 170 25 (c) Use your results to write the complete factorization of f(x). f(x) = (d) List all real zeros of f. (Enter your answers as a comma-separated list.) -4 52 (e) Confirm your results by using a graphing utility to graph the function. f(x) 60 80 -2 $ -200 2 % & f(x) 1200 1000 800 A

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 22CR
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Question
Consider the following function.
Function
Factors
f(x) = 8x4 - 6x³ - 165x² - 37x + 60 (x + 4), (x - 5)
(a) Verify the given factors of f(x).
(x + 4)
-4 8
X =
-6 -165 -37
-32 152
8 -38 -13
(x - 5) 58 -6 -165 -37 60
40 170 25
8 34 5
(b) Find the remaining factor(s) of f(x). (Enter your answers as a comma-separated list. Do not use any fractions or decimals in your answer.)
-6
(c) Use your results to write the complete factorization of f(x).
f(x) =
#
52
(d) List all real zeros of f. (Enter your answers as a comma-separated list.)
60
8
(e) Confirm your results by using a graphing utility to graph the function.
f(x)
+A+
-2
2
200
-4
$
%
6
X
&
f(x)
1200 H
1000
800
A
Transcribed Image Text:Consider the following function. Function Factors f(x) = 8x4 - 6x³ - 165x² - 37x + 60 (x + 4), (x - 5) (a) Verify the given factors of f(x). (x + 4) -4 8 X = -6 -165 -37 -32 152 8 -38 -13 (x - 5) 58 -6 -165 -37 60 40 170 25 8 34 5 (b) Find the remaining factor(s) of f(x). (Enter your answers as a comma-separated list. Do not use any fractions or decimals in your answer.) -6 (c) Use your results to write the complete factorization of f(x). f(x) = # 52 (d) List all real zeros of f. (Enter your answers as a comma-separated list.) 60 8 (e) Confirm your results by using a graphing utility to graph the function. f(x) +A+ -2 2 200 -4 $ % 6 X & f(x) 1200 H 1000 800 A
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