Kev sib cais hluavtaws yog txoj hauv kev luv luv ntawm kev faib cov lej uas koj tuaj yeem faib cov coefficients ntawm polynomial los ntawm kev tshem tawm qhov sib txawv thiab lawv cov zauv. Txoj hauv kev no tso cai rau koj kom ntxiv mus thoob plaws hauv cov txheej txheem, tsis muaj kev rho tawm, zoo li koj ib txwm ua nrog kev faib ib txwm muaj. Yog tias koj xav paub yuav faib cov lej sib npaug li cas siv cov khoom sib faib, tsuas yog ua raws cov theem no.
Kauj ruam
Kauj Ruam 1. Sau qhov teeb meem
Rau qhov piv txwv no, koj yuav faib x3 + 2x ib2 - 4x + 8 qhov twg x + 2. Sau qhov sib npaug ntawm thawj polynomial, qhov sib npaug yuav muab faib, hauv tus lej thiab sau qhov kev ua zauv ob, qhov sib npaug uas faib, hauv cov lej.
Kauj Ruam 2. Rov qab kos npe ntawm qhov tsis tu ncua hauv qhov faib ua zauv
Qhov tsis tu ncua hauv qhov kev faib ua zauv, x + 2, yog qhov zoo 2, yog li qhov sib txawv ntawm nws qhov kos npe yog -2.
Kauj Ruam 3. Sau tus lej no sab nraum lub cim faib faib rov qab
Cov cim faib rov qab zoo li tus inverted L. Muab tus lej -2 tso rau sab laug ntawm lub cim no.
Kauj Ruam 4. Sau tag nrho cov coefficients ntawm qhov kev ua zauv kom muab faib ua cim faib
Sau cov zauv los ntawm sab laug mus rau sab xis zoo li kab zauv. Qhov tshwm sim zoo li no: -2 | 12 -48 ib.
Kauj Ruam 5. Tau txais thawj coefficient
Txo thawj coefficient, 1, hauv qab nws. Qhov tshwm sim yuav zoo li no:
-
-2| 1 2 -4 8
↓
1
Kauj Ruam 6. Muab thawj tus coefficient los ntawm tus faib thiab muab nws tso rau hauv qhov thib ob coefficient
Tsuas yog muab tus lej 1 los -2 los ua -2 thiab sau cov khoom hauv qab ntu ob, 2. Qhov tshwm sim yuav zoo li no:
-
-2| 1 2 -4 8
-2
1
Kauj Ruam 7. Ntxiv qhov thib ob coefficient nrog cov khoom thiab sau cov lus teb hauv qab cov khoom
Tam sim no, coj tus coefficient thib ob, 2, thiab ntxiv rau -2. Qhov tshwm sim yog 0. Sau qhov tshwm sim hauv qab ob tus lej, raws li koj xav tau nrog kev faib ntev. Qhov tshwm sim yuav zoo li no:
-
-2| 1 2 -4 8
-2
1 0
Kauj Ruam 8. Muab cov zauv sib faib ua ke thiab tso qhov tshwm sim hauv qab qhov thib ob coefficient
Tam sim no, coj tus lej, 0, thiab muab nws faib ua tus faib, -2. Qhov tshwm sim yog 0. Muab tus lej no qis dua 4, qhov thib peb coefficient. Qhov tshwm sim yuav zoo li no:
-
-2| 1 2 -4 8
-2 0
1
Kauj Ruam 9. Ntxiv cov khoom thiab cov coefficients ntawm peb thiab sau qhov tshwm sim hauv qab cov khoom
Ntxiv 0 thiab -4 rau -4 thiab sau cov lus teb hauv qab 0. Qhov tshwm sim yuav zoo li no:
-
-2| 1 2 -4 8
-2 0
1 0 -4
Kauj Ruam 10. Muab tus lej no faib los ntawm tus faib, sau nws hauv qab qhov coefficient kawg, thiab ntxiv nws los ntawm cov coefficient
Tam sim no, muab -4 los -2 ua 8, sau cov lus teb hauv qab tus lej thib plaub, 8, thiab ntxiv cov lus teb los ntawm tus lej thib plaub. 8 + 8 = 16, yog li qhov no yog koj qhov seem. Sau tus lej no hauv qab qhov sib npaug. Qhov tshwm sim yuav zoo li no:
-
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
Kauj Ruam 11. Muab txhua qhov tshiab coefficient nyob ib sab ntawm qhov sib txawv uas muaj lub zog ib qib qis dua qhov sib txawv qub
Hauv qhov teeb meem no, qhov tshwm sim ntawm thawj qhov ntxiv, 1, tau muab tso ze rau x rau lub zog ntawm 2 (ib qib qis dua lub zog ntawm 3). Qhov thib ob, 0, tau muab tso rau ib sab ntawm x, tab sis qhov tshwm sim yog xoom, yog li koj tuaj yeem tso tseg qhov no. Thiab qhov thib peb coefficient, -4, dhau mus tas li, tus lej uas tsis muaj qhov hloov pauv, vim qhov pib sib txawv yog x. Koj tuaj yeem sau tus R tom ntej ntawm 16 vim tias tus lej no yog qhov seem ntawm kev faib. Qhov tshwm sim yuav zoo li no:
-
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
x kev 2 + 0 x - 4x R 16
x kev 2 - 4 R16 ib
Kauj Ruam 12. Sau cov lus teb zaum kawg
Cov lus teb zaum kawg yog tus lej tshiab, x2 - 4, ntxiv rau qhov seem, 16, faib los ntawm thawj qhov faib ua zauv, x + 2. Qhov tshwm sim yuav zoo li no: x2 - 4x +16/(x +2).
Lub tswv yim
-
Txhawm rau txheeb xyuas koj cov lus teb, muab cov lej los ntawm cov zauv sib faib thiab ntxiv cov seem. Nws yuav tsum zoo ib yam li koj li qub polynomial.
- (divisor) (tsocai)+(seem)
- (x + 2) (x 2 - 4) + 16
- Muab sib npaug.
- (xwm 3 4x - x + 2 2 - 8) + 16
- x kev 3 + 2 x po 2 4x - 8 + 16
- x kev 3 + 2 x po 2 4x + 8
