Consider the following function. Function f(x) = 3x³x² - 8x - 4 (a) Verify the given factors of f(x). (x + 1) -1 3 -1 -3 3 -4 (x - 2) 3 -1 -8 6 10 3 5 (b) Find the remaining factor(s) of f(x). (Enter your answers as a comma-separated list.) (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.) X = 2 Factors (x + 1), (x - 2) -8 4 -4

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.CR: Chapter Review
Problem 61E
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Consider the following function.
Function
f(x) = 3x³ - x² - 8x - 4
(a) Verify the given factors of f(x).
(x + 1)
-1 3 -1
-3
3
-4
(x - 2)
3 -1
-8
-4
6
10
3 5
(b) Find the remaining factor(s) of f(x). (Enter your answers as a comma-separated list.)
(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.)
X =
2
Factors
(x + 1), (x − 2)
-8
4
-4
Transcribed Image Text:Consider the following function. Function f(x) = 3x³ - x² - 8x - 4 (a) Verify the given factors of f(x). (x + 1) -1 3 -1 -3 3 -4 (x - 2) 3 -1 -8 -4 6 10 3 5 (b) Find the remaining factor(s) of f(x). (Enter your answers as a comma-separated list.) (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.) X = 2 Factors (x + 1), (x − 2) -8 4 -4
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