Lub ntsiab lus ntawm lub hauv paus rational yog dab tsi?
Lub ntsiab lus ntawm lub hauv paus rational yog dab tsi?

Video: Lub ntsiab lus ntawm lub hauv paus rational yog dab tsi?

Video: Lub ntsiab lus ntawm lub hauv paus rational yog dab tsi?
Video: Mathematics with Python! Sequences 2024, Kaum ib hlis
Anonim

Cov hauv paus ntsiab lus Kuaj. Cov Cov hauv paus ntsiab lus Test (tseem hu ua Kev xav Zeros Theorem) tso cai rau peb nrhiav txhua qhov ua tau rational cag ntawm ib tug polynomial. Hauv lwm lo lus, yog tias peb hloov tus lej rau hauv lub polynomial P (x) Plef(x ight) P(x) thiab tau txais xoom ,0, ib txhais tau tias uas tus nqi input yog a hauv paus ntawm kev ua haujlwm.

Ib yam li ntawd, lub hauv paus ntsiab lus theorem ua haujlwm li cas?

Rational root theorem . Kev daws ntawm qhov sib npaug yog kuj hu keeb kwm los yog zeroes ntawm lub polynomial nyob rau sab laug. Cov theorem hais tias txhua tus kev xav x = p/q, sau rau hauv nqe lus qis tshaj kom p thiab q yog kuj tseem ceeb, txaus siab: p yog ib qho tseem ceeb ntawm lub sij hawm tas li a0, thiab.

Ib sab saum toj, RRT yog dab tsi hauv lej? Rational Root Theorem. Rational Zero Theorem. Ib lub theorem uas muab ib daim ntawv teev tag nrho ntawm cov hauv paus ntsiab lus ntawm qhov sib npaug polynomial a x + a 1x 1 + ···· + a2x2 + a1x + a0 = 0 qhov twg tag nrho cov coefficients yog integers. Cov npe no suav nrog txhua tus lej ua tau ntawm daim ntawv c/d, qhov twg c thiab d yog tus lej.

Kuj paub yog, leej twg invented lub rational cag theorem?

René Descartes

Puas yog cov hauv paus rational thiab rational zeros tib yam?

Nrhiav qhov rational cag (tseem hu ua rational zeroes ) ntawm ib tug polynomial yog tus ib yam raws li nrhiav tau kev xav x-intercepts.

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