Puas yog tag nrho cov lus qhia ntau yam tuaj yeem ua tau?

Cov txheej txheem:

Puas yog tag nrho cov lus qhia ntau yam tuaj yeem ua tau?
Puas yog tag nrho cov lus qhia ntau yam tuaj yeem ua tau?
Anonim

Kev qhia ntau yam yuav tsuas yog qhov cuam tshuam yog tias nws hla lossis kov X-axis. Nco ntsoov, txawm li cas los xij, yog tias koj tuaj yeem siv Complex (hu ua "kev xav") cov lej ces txhua tus lej yog qhov ua tau zoo.

Puas yog txhua tus lej tuaj yeem ua tau?

Txhua tus lej tuaj yeem suav tau (dhau ntawm tus lej tiag) rau hauv khoom ntawm cov xwm txheej linear thiab irreducible quadratic yam. Lub Ntsiab Tseem Ceeb ntawm Algebra yog thawj zaug ua pov thawj los ntawm Carl Friedrich Gauss (1777-1855).

Yuav ua li cas koj thiaj paub yog hais tias ib tug polynomial yog Factorable?

2 Teb. Txoj kev ntseeg siab tshaj plaws uas kuv tuaj yeem xav txog kom paub seb puas muaj ntau tus lej yog qhov tseem ceeb lossis tsis yog ntsaws rau hauv koj lub laij lej, thiab nrhiav koj tus lej. Yog tias cov xoom no yog cov lej ntev txawv txawv (lossis tsis muaj), ces koj yuav tsis tuaj yeem suav nws. Tom qab ntawd, koj yuav tsum tau siv cov qauv plaub fab.

Yuav ua li cas thiaj paub tias nws yog Factorable?

Yog Δ<0 ces ax2 + bx + c muaj ob qhov sib txawv xoom xoom thiab tsis yog qhov tseem ceeb tshaj qhov tiag. Nws yog qhov tseem ceeb yog tias koj tso cai Complex coefficients.

Puas yog polynomials tib yam li kab lus?

Peb paub tias polynomial yog ib qho kev qhia txog algebraic uas muaj qhov tsis tu ncua, qhov sib txawv thiab cov coefficients uas tsuas yog kev ua haujlwm ntawm kev sib ntxiv, rho tawm, sib npaug, thiab tag nrho cov lej exponent ntawm qhov sib txawv, piv txwv li qee qhov polynomials yog 2, 2x + 3, 2x2 + 34x + 9 thiab lwm yam.

Pom zoo: