Video: Simplifying polynomials txhais li cas?
2024 Tus sau: Lynn Donovan | [email protected]. Kawg hloov kho: 2023-12-15 23:47
Polynomials yuav tsum yog ib txwm yooj yim ntau li ntau tau. Qhov ntawd txhais tau tias koj yuav tsum ntxiv ua ke ib yam li cov ntsiab lus. Zoo li cov ntsiab lus yog cov ntsiab lus uas muaj ob yam sib xws: 1) Qhov sib txawv (s) tib yam (s) 2) Cov kev hloov pauv muaj tib lub exponents.
Tsis tas li lo lus nug yog, qhov txawv ntawm kev simplifying thiab factoring polynomials yog dab tsi?
Hauv algebra, simplifying thiab factoring cov lus qhia yog cov txheej txheem rov qab. Ua kom yooj yim ib qho kev qhia feem ntau txhais tau hais tias tshem tawm ib khub ntawm kab lus; factoring ib qho kev qhia feem ntau txhais tau tias siv lawv. Ob daim ntawv qhia no - 5x(2x2 - 3 x + 7) thiab 10 x2 – 15 x2 + 35x - sib npaug.
Qhov thib ob, koj ua li cas yooj yim? Nov yog cov kauj ruam yooj yim los ua kom yooj yim rau kev qhia algebraic:
- tshem cov kab lus los ntawm kev sib npaug.
- siv cov kev cai exponent kom tshem tawm cov kab lus nyob rau hauv cov nqe lus nrog exponents.
- ua ke zoo li cov ntsiab lus los ntawm kev ntxiv cov coefficients.
- muab cov tsis tu ncua.
Yog li ntawd, dab tsi yog tsis yog ib tug polynomial?
Functions uas yog tsis yog polynomial . f(x)=1/x+2x^2+5, as you can see 1/x sau li x^(-1) uas tsis yog satisfying txhais (tsis yog tsis zoo integer zog). F(x) = x^(3/2) + 2x -9. Cov haujlwm yog tsis yog polynomial raws li lub zog yog 3/2 uas tsis yog ib integer.
Koj yuav daws tau ib tug polynomial li cas?
Rau daws ib linear polynomial , teeb qhov sib npaug kom sib npaug zero, ces cais thiab daws rau qhov sib txawv. Ib linear polynomial yuav muaj ib lo lus teb xwb. Yog koj xav tau daws ib quadratic polynomial , sau cov kab zauv nyob rau hauv kev txiav txim ntawm qhov siab tshaj plaws mus rau qhov qis tshaj, ces teem lub equation kom sib npaug zos.
Pom zoo:
Yuav ua li cas koj muab polynomials horizontally?
Kab rov tav Set-Up: Muab txhua lub sij hawm ntawm thawj lub sij hawm trinomial txhua lub sij hawm ntawm lub thib ob trinomial. Yuav muaj 9 qhov sib npaug. Ua ke cov ntsiab lus zoo li. Vertical Set-Up: Kab cov polynomials raws li koj xav tau rau cov lej sib npaug
Puas yog qhov sib npaug ntawm ob lub polynomials ib txwm yog polynomial?
Qhov sib npaug ntawm ob lub polynomials yeej ib txwm yog polynomial, yog li qhov sib txawv ntawm ob polynomials kuj tseem yog ib qho polynomial
Yuav ua li cas rho tawm polynomials?
Txhawm rau rho tawm cov polynomials, peb ua ntej ua kom yooj yim cov polynomials los ntawm kev tshem tawm tag nrho cov kab ke. Tom qab ntawd, peb muab cov ntsiab lus zoo li. Zoo li cov ntsiab lus yog cov ntsiab lus uas qhia tib lub hauv paus thiab lub zog rau txhua qhov sib txawv. Thaum koj tau txheeb xyuas cov ntsiab lus zoo li no, peb mam li siv cov haujlwm xav tau, hauv qhov no, rho tawm, rau cov coefficients
Yuav ua li cas koj faib polynomials nyob rau hauv cov qauv?
Lub polynomial tuaj yeem muab faib ua ob txoj hauv kev: los ntawm tus lej ntawm cov ntsiab lus thiab los ntawm nws cov degree. Lub monomial yog ib qho kev qhia ntawm 1 lub sij hawm. Lub polynomial ntawm ob lub ntsiab lus yog hu ua binomial thaum lub polynomial ntawm peb lub ntsiab lus yog hu ua trinomial, thiab lwm yam. Cov degree ntawm polynomial yog qhov loj tshaj plaws ntawm nws qhov sib txawv
Nws txhais li cas los tsim ib txoj haujlwm txhais ntawm lub tswvyim?
Qhov tseeb, lub ntsiab lus txhais qhia koj tias lub tswv yim txhais li cas, thaum lub ntsiab lus ua haujlwm tsuas yog qhia koj seb yuav ntsuas nws li cas. Lub tswv yim txhais tau hais tias koj cov kev tsim kho yog dab tsi los ntawm kev piav qhia seb lawv cuam tshuam li cas rau lwm cov qauv. Qhov kev piav qhia thiab tag nrho cov tsim nws hais txog yog abstract