Find all zeros of the function and write the polynomial as a product of linear factors. f(x) = x4 + 6x³ + 12x² + 24x +32 A) f(x)=(x-4)(x+2)(x-2)(x+2) C) f(x) = (x + 4) (x + 2)(x - 2i)(x+2i) 1 B) f(x) = (x + 1)(x+5+i)(x+5-i) D) f(x) = (x - 1)(x+5+i√2)(x+5-√√2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find all zeros of the function and write the polynomial as a product of linear factors.
Ⓒ
f(x)=x4 + 6x3 + 12x² + 24x +32
A) f(x)=(x-4)(x + 2)(x-2)(x+2)
C) f(x) = (x +4)(x + 2)(x - 2i)(x+2i)
1
(B) f(x) = (x + 1)(x+5+i)(x+5-i)
D) f(x) = (x - 1)(x + 5+ i√√2)(x+5-i√√2)
Transcribed Image Text:Find all zeros of the function and write the polynomial as a product of linear factors. Ⓒ f(x)=x4 + 6x3 + 12x² + 24x +32 A) f(x)=(x-4)(x + 2)(x-2)(x+2) C) f(x) = (x +4)(x + 2)(x - 2i)(x+2i) 1 (B) f(x) = (x + 1)(x+5+i)(x+5-i) D) f(x) = (x - 1)(x + 5+ i√√2)(x+5-i√√2)
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