Dab tsi yog qhov null factor?

Cov txheej txheem:

Cov kauj ruam
Piv txwv 2

Video: Dab tsi yog qhov null factor?

2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36

Cov Null Factor Txoj cai

Yog tias qhov khoom ntawm ob tus lej yog xoom, ces ib lossis ob tus lej yog xoom. Ntawd yog, yog tias ab = 0, ces a = 0 lossis b = 0 (uas suav nrog qhov ua tau tias a = b = 0). Qhov no yog hu ua Null Factor Txoj Cai; thiab peb siv nws ntau zaus los daws qhov sib npaug ntawm plaub fab.

Cov neeg kuj nug, koj ua li cas Factorise?

Factorising yog qhov thim rov qab ntawm kev nthuav dav, yog li nws yog, piv txwv li, muab 2x² + x - 3 rau hauv daim ntawv (2x + 3)(x - 1). Qhov no yog ib txoj hauv kev tseem ceeb ntawm kev daws cov kab zauv sib npaug. Thawj kauj ruam ntawm factorising ib qho kev qhia yog kom 'tawm tawm' txhua yam xwm txheej uas cov ntsiab lus muaj.

Tom qab ntawd, lo lus nug yog, dab tsi yog parabolic equation? Parabola : Txuj Kev sib npaug . Cov parabola nyob rau hauv daim duab muaj ib tug ntsug axis tab sis nws yog ua tau rau a parabola kom muaj kab rov tav axis. Tus qauv kev sib npaug ntawm a parabola yog: STANDARD EQUATION NTAWM A PARABOLA : Cia lub vertex yog (h, k) thiab p yog qhov kev ncua deb ntawm lub vertex thiab lub tsom xam thiab p ≠ 0.

Ib yam li ntawd ib tug yuav nug, ua li cas koj ua tiav lub square?

Cov kauj ruam

Kauj Ruam 1 Faib tag nrho cov ntsiab lus los ntawm a (cov coefficient ntawm x²).
Kauj Ruam 2 Txav lub sij hawm tus lej (c/a) mus rau sab xis ntawm kab zauv.
Kauj Ruam 3 Ua kom tiav cov square ntawm sab laug ntawm qhov sib npaug thiab sib npaug qhov no los ntawm kev ntxiv tus nqi qub rau sab xis ntawm qhov sib npaug.

Yuav ua li cas koj daws ib txhij equations?

Piv txwv 2

Kauj Ruam 1: Muab txhua qhov sib npaug los ntawm tus lej tsim nyog kom ob qhov sib npaug sib npaug sib npaug.
Kauj Ruam 2: Tshem tawm qhov sib npaug thib ob los ntawm thawj.
Kauj ruam 3: daws qhov sib npaug tshiab rau y.
Kauj Ruam 4: Hloov y = 2 rau hauv Equation 1 lossis Equation 2 saum toj no thiab daws rau x.

Pom zoo:

Koj yuav daws qhov kev sib npaug plaub npaug li cas siv txoj cai null factor?

Los ntawm qhov no peb tuaj yeem suav tias: Yog tias qhov khoom ntawm ob tus lej yog xoom, ces ib lossis ob tus lej yog xoom. Ntawd yog, yog tias ab = 0, ces a = 0 lossis b = 0 (uas suav nrog qhov ua tau tias a = b = 0). Qhov no hu ua Null Factor Law; thiab peb siv nws ntau zaus los daws qhov sib npaug ntawm plaub fab

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Dab tsi yog qhov txawv ntawm qhov sib txawv ntawm qhov sib txawv thiab qhov sib txawv ntawm qhov ntab?

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Dab tsi yog qhov zeros ntawm kev ua haujlwm Dab tsi yog qhov sib txawv?

Tus naj npawb ntawm lub sij hawm ib qho tseem ceeb tshwm sim nyob rau hauv daim ntawv factored ntawm qhov sib npaug ntawm ib tug polynomial yog hu ua multiplicity. Qhov xoom cuam tshuam nrog qhov xwm txheej no, x = 2, muaj ntau qhov sib npaug 2 vim tias qhov xwm txheej (x− 2) tshwm sim ob zaug. X-intercept x=− 1 yog qhov rov qab daws ntawm qhov xwm txheej (x + 1) 3 = 0 (x + 1) 3 = 0