The graph of a degree four polynomial function, f, is shown below. W (a) Determine the zero(s) of f. If there are multiple zeros, enter your answers, separated by commas. Zero(s) of f: (b) Decide whether each statement is true or false. (i) (x+5)² is factor of f(x) -Select- -Select- (ii) (x-8) is factor of f(x) (iii) x=0 is a zero of f(x) with multiplicity of 2 -Select-- + (iv) The leading coefficient of f is negative -Select---+ (c) Suppose f has a leading coefficient of k. Write a possible equation for the polynomial graphed above. You can leave your answer in factored form. Note: k is lowercase. f(x) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
The graph of a degree four polynomial function, f, is shown below.
W
(a) Determine the zero(s) of f. If there are multiple zeros, enter your answers, separated by commas.
Zero(s) of f:
(b) Decide whether each statement is true or false.
(i) (x+5)2 is factor of f(x)
(ii) (x-8) is factor of f(x)
---Select---+
--Select--
(iii) x = 0 is a zero of f(x) with multiplicity of 2
---Select--
(iv) The leading coefficient of f is negative --Select--
(c) Suppose f has a leading coefficient of k. Write a possible equation for the polynomial graphed above. You can leave your answer in factored form. Note: k is lowercase. f(x) =
(d) Suppose the point marked won the graph has coordinates (2,4). Determine the leading coefficient, k, for the function f. Your answer will contain L. Note L is uppercase.
k =
For instructor notes only. Please do not write below.
Transcribed Image Text:The graph of a degree four polynomial function, f, is shown below. W (a) Determine the zero(s) of f. If there are multiple zeros, enter your answers, separated by commas. Zero(s) of f: (b) Decide whether each statement is true or false. (i) (x+5)2 is factor of f(x) (ii) (x-8) is factor of f(x) ---Select---+ --Select-- (iii) x = 0 is a zero of f(x) with multiplicity of 2 ---Select-- (iv) The leading coefficient of f is negative --Select-- (c) Suppose f has a leading coefficient of k. Write a possible equation for the polynomial graphed above. You can leave your answer in factored form. Note: k is lowercase. f(x) = (d) Suppose the point marked won the graph has coordinates (2,4). Determine the leading coefficient, k, for the function f. Your answer will contain L. Note L is uppercase. k = For instructor notes only. Please do not write below.
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