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Ufumbuzi - PolynomialRootFinder

x=10
x=-10
x=10
x=-10
x=5
x=5

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PolynomialRootFinder

Maelezo kwa hatua

1. Sanifisha kuwa P(x)=0

x315x2+500=0

an=1

a0=500

Andika upya mlinganyo kama polinomu sawa na sifuri.

2. Jaribu mizizi ya wagombea

Mizizi ya kimantiki inayowezekana: -1, 1, -2, 2, -4, 4, -5, 5, -10, 10, -20, 20, -25, 25, -50, 50, -100, 100, -125, 125, -250, 250, -500, 500. Jaribu kila mgombea na punguza kwa vipengele vilivyopatikana.

factors(|a0|)=1,2,4,5,10,20,25,50,100,125,250,500

factors(|an|)=1

x=+/-p/q=-1,1,-2,2,-4,4,-5,5,-10,10,-20,20,-25,25,-50,50,-100,100,-125,125,-250,250,-500,500

P(1)=486

P(1)=484

P(2)=448

P(2)=432

P(4)=324

P(4)=196

P(5)=250

P(5)=0

(x5)(x220x100)=0

3. Tatua kipengele kilichobaki

Tatua polinomu iliyobaki kwa kutumia fomula ya kwadrati.

x=-10,-10

4. Kusanya mizizi yote

Mizizi yote pamoja na wingi wake: x={-10,-10,5}.

Kwa nini kujifunza hii

Jifunze zaidi na Tiger