Nco ntsoov tias qhov degree ntawm polynomial, qhov siab tshaj plaws exponent, dictates ntau tshaj ntawm cov hauv paus hniav nws muaj peev xwm muaj. Yog li, qhov degree ntawm ib tug polynomial nrog ib tug muab tus naj npawb ntawm cov hauv paus hniav yog sib npaug zos rau los yog ntau tshaj tus naj npawb ntawm cov hauv paus hniav uas tau muab.
Puas yog qib ntawm cov polynomial txiav txim tus naj npawb ntawm cov hauv paus hniav Vim li cas?
Nyob rau ntawm nplooj ntawv Fundamental Theorem ntawm Algebra peb piav qhia tias a polynomial yuav muaj ntau lub hauv paus raws li nws cov degree (qhov degree yog qhov siab tshaj plaws ntawm cov polynomial). Yog li peb paub ib qho ntxiv: degree yog 5 ces muaj 5 cov hauv paus hauv tag nrho.
Yuav ua li cas koj pom tus naj npawb ntawm cov hauv paus hauv polynomial?
Ntau npaum li cas hauv paus? Xeem lub sij hawm siab tshaj plaws ntawm cov polynomial - uas yog, lub sij hawm nrog lub siab tshaj plaws exponent. Tus exponent yog pes tsawg lub hauv paus ntawm polynomial yuav muaj. Yog li yog tias qhov siab tshaj plaws exponent hauv koj cov polynomial yog 2, nws yuav muaj ob lub hauv paus; yog tias qhov siab tshaj plaws exponent yog 3, nws yuav muaj peb lub hauv paus; thiab lwm yam.
degree twg txiav txim siab nyob rau hauv ib tug polynomial?
Tus degree ntawm tus kheej lub sij hawm ntawm ib tug polynomial yog tus exponent ntawm nws qhov sib txawv; cov exponents ntawm cov nqe lus ntawm no polynomial yog, nyob rau hauv kev txiav txim, 5, 4, 2, thiab 7. Qhov degree ntawm lub polynomial yog qhov siab tshaj ntawm ib qho ntawm cov nqe lus; qhov no, nws yog 7.
Dab tsi yog qib ntawm polynomial 3?
Teb: Yog, 3yog ib tug polynomial ntawm degree 0.
Vim tsis muaj exponent rau qhov sib txawv, yog li ntawd qhov degree yog 0. Piav: Txhua tus polynomials tas mus li muaj degree ntawm 0. Txij li 3 yog ib lub polynomial tas li thiab sau tau li 3x0, nws muaj qib ntawm 0.
