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

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.1: Concept Of A Function
Problem 99PS
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Question
5
Consider the following function.
Function
f(x) = 3x³x² - 8x - 4
(a) Verify the given factors of f(x).
(x + 1)
-1 3 -1
(x - 2)
-3
X =
Factors
(x + 1), (x - 2)
3-4
2 3 -1
6
3 5
-8
4
-8
10
-4
(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.)
(e) Confirm your results by using a graphing utility to graph the function.
Transcribed Image Text:Consider the following function. Function f(x) = 3x³x² - 8x - 4 (a) Verify the given factors of f(x). (x + 1) -1 3 -1 (x - 2) -3 X = Factors (x + 1), (x - 2) 3-4 2 3 -1 6 3 5 -8 4 -8 10 -4 (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.) (e) Confirm your results by using a graphing utility to graph the function.
-4
-4
5
2
-10
-15
1
1h
f(x)
15
10
5
-R
-5
10
-5
4
4
X
X
4
4
-2
-2
-10
-15
5
f(x)
15
10
5
-10-
15
2
4
4
X
Transcribed Image Text:-4 -4 5 2 -10 -15 1 1h f(x) 15 10 5 -R -5 10 -5 4 4 X X 4 4 -2 -2 -10 -15 5 f(x) 15 10 5 -10- 15 2 4 4 X
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