Consider the following polynomial function. h(x) = 3x4 + 13x3 - 8x2 - 52x – 16 (a) Determine whether each of the following is a possible rational zero of h(x). Select yes or no for each option. (i) 1 O Yes O No (ii) O Yes No (iii) -1 O Yes O No (iv) 8 O Yes No (b) Use synthetic division to show that -4 is a zero of the given function. Submit your work as a free response. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (c) Find the remaining zeros. (Enter your answers as a comma-separated list.)
Consider the following polynomial function. h(x) = 3x4 + 13x3 - 8x2 - 52x – 16 (a) Determine whether each of the following is a possible rational zero of h(x). Select yes or no for each option. (i) 1 O Yes O No (ii) O Yes No (iii) -1 O Yes O No (iv) 8 O Yes No (b) Use synthetic division to show that -4 is a zero of the given function. Submit your work as a free response. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (c) Find the remaining zeros. (Enter your answers as a comma-separated list.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:Consider the following polynomial function.
h(x) = 3x4 + 13x - 8x? - 52x - 16
(a) Determine whether each of the following is a possible rational zero of h(x). Select yes or no for each option.
(i)
O Yes
No
(ii)
O Yes
No
(iii) -1
O Yes
O No
(iv) 8
O Yes
O No
(b) Use synthetic division to show that -4 is a zero of the given function. Submit your work as a free response. (Submit a file with a maximum size of 1 MB.)
Choose File No file chosen
(c) Find the remaining zeros. (Enter your answers as a comma-separated list.)
X =
O O
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