Vim li cas cov theorem seem ua haujlwm?
Vim li cas cov theorem seem ua haujlwm?

Video: Vim li cas cov theorem seem ua haujlwm?

Video: Vim li cas cov theorem seem ua haujlwm?
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Cov seem theorem hais tias f(a) yog tus seem thaum lub polynomial f(x) muab faib los ntawm x - a. Yog li, muab ib tug polynomial, f (x), los saib seb ib tug linear binomial ntawm daim ntawv x - a yog ib tug yam ntawm polynomial, peb daws rau f(a). Yog tias f(a) = 0, ces x - a yam , thiab x - a tsis yog a yam txwv tsis pub.

Ib yam li ntawd, nws raug nug, qhov seem theorem ua haujlwm li cas?

Cov seem theorem hais cov nram qab no: Yog tias koj faib ib tug polynomial f(x) los ntawm (x - h), ces tus seem yog f(h). Cov theorem hais tias peb seem sib npaug f(h). Yog li ntawd, peb ua tsis tas yuav siv sij hawm ntev, tab sis tsuas yog yuav tsum tau ntsuas cov polynomial thaum x = h kom pom cov seem.

Ib tug kuj nug, qhov seem ntawm 0 txhais li cas? Yog tias x - c yog qhov tseem ceeb, koj tuaj yeem rov sau tus thawj polynomial li (x - c) (quotient). Koj tuaj yeem siv hluavtaws faib los pab koj nrog hom teeb meem no. Cov Tseem tshuav Theorem hais tias f(c) = the seem . Yog li ntawd yog hais tias tus seem tawm los ua 0 thaum koj siv hluavtaws faib, ces x - c yog qhov tseem ceeb ntawm f(x).

Tsis tas li ntawd, lub ntsiab lus ntawm Remainder Theorem yog dab tsi?

Cov Remainder Theorem hais tias peb tuaj yeem rov ua dua lub polynomial nyob rau hauv cov nqe lus ntawm tus divisor, thiab mam li ntsuam xyuas cov polynomial ntawm x = a. Tab sis thaum x = a, qhov "x – a" tsuas yog xoom!

Puas yog xoom qhov seem?

Thaum ib lub sij hawm ("dividend") muab faib los ntawm lwm lub sij hawm ("divisor"), qhov tshwm sim yog "quotient" thiab " seem ". Thaum lub seem yog xoom , ob qho tib si quotient thiab divisor yog yam ntawm cov nyiaj faib. 0 yog o seem . Txij li thaum seem yog xoom , ob qho tib si 2 thiab 3 yog yam ntawm 6.

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