12) Given i is a zero of the polynomial P(x) = x² - 4x³ + 4x² - 4x +3, determine all other zeros (real and complex) and write the polynomial in terms of a product of linear factors.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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12) Given i is a zero of the polynomial P(x) = x² - 4x³ + 4x² - 4x +3, determine all other zeros
(real and complex) and write the polynomial in terms of a product of linear factors.
(se
(de
slun 29/103290 ezu (s) :gniwollot ort rowans of Isimonylog svitsqzen ari ezu,II brs Of amaldong ni
isnoiten arts 92u (d) (2019s svitsgon bna svitizoq to noitenidmos eldizzoq erit enimmofob of angle to
Ils brit brus 101 12st (3) ;isimonyloq srit to 2019s lsnoite aldizzog erit enimmetsb at meroedd ones
(visnigsmino\bns (691) 2101st 189nil to buborg 6 25 101061 (b) bns 2019s xoqmos bns lsnoite1
(inioq 0) a + x - x - x + x = (x)9(01
20193 anoite evitizoq oldizzoq (601
2019s Isnoile1 svitsgen oldizzoq (601
12) all zeros:
2019s lsnolts1 aldizzoq to fail (dot
2019s Isnoi161 (201
12) factored form: P(x) =
=
Transcribed Image Text:12) Given i is a zero of the polynomial P(x) = x² - 4x³ + 4x² - 4x +3, determine all other zeros (real and complex) and write the polynomial in terms of a product of linear factors. (se (de slun 29/103290 ezu (s) :gniwollot ort rowans of Isimonylog svitsqzen ari ezu,II brs Of amaldong ni isnoiten arts 92u (d) (2019s svitsgon bna svitizoq to noitenidmos eldizzoq erit enimmofob of angle to Ils brit brus 101 12st (3) ;isimonyloq srit to 2019s lsnoite aldizzog erit enimmetsb at meroedd ones (visnigsmino\bns (691) 2101st 189nil to buborg 6 25 101061 (b) bns 2019s xoqmos bns lsnoite1 (inioq 0) a + x - x - x + x = (x)9(01 20193 anoite evitizoq oldizzoq (601 2019s Isnoile1 svitsgen oldizzoq (601 12) all zeros: 2019s lsnolts1 aldizzoq to fail (dot 2019s Isnoi161 (201 12) factored form: P(x) = =
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