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Question Number 55076 by gunawan last updated on 17/Feb/19

Known polynom  P(z)=a_0 z^n +a_1 z^(n−1) +…+a_(n ) With  explain real number. If z_0 =3−4i  form root is from polynom,  then one other root defonitely appeared  is..

$$\mathrm{Known}\:\mathrm{polynom} \\ $$$$\mathrm{P}\left({z}\right)={a}_{\mathrm{0}} {z}^{{n}} +{a}_{\mathrm{1}} {z}^{{n}−\mathrm{1}} +\ldots+{a}_{{n}\:} \mathrm{With} \\ $$$$\mathrm{explain}\:\mathrm{real}\:\mathrm{number}.\:\mathrm{If}\:{z}_{\mathrm{0}} =\mathrm{3}−\mathrm{4}{i} \\ $$$$\mathrm{form}\:\mathrm{root}\:\mathrm{is}\:\mathrm{from}\:\mathrm{polynom}, \\ $$$$\mathrm{then}\:\mathrm{one}\:\mathrm{other}\:\mathrm{root}\:\mathrm{defonitely}\:\mathrm{appeared} \\ $$$$\mathrm{is}.. \\ $$

Answered by tm888 last updated on 17/Feb/19

3+4i

$$\mathrm{3}+\mathrm{4}{i} \\ $$

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