Puas yog qhov sib npaug ntawm ob lub polynomials ib txwm yog polynomial?

2024 Tus sau: Lynn Donovan | [email protected]. Kawg hloov kho: 2023-12-15 23:47

Cov sum ntawm ob polynomials yog ib txwm ib tug polynomial , yog li qhov txawv ntawm ob polynomials kuj yog ib txwm ib tug polynomial.

Ib yam li ntawd, nws raug nug, puas yog cov khoom ntawm ob lub polynomials ib txwm muaj ntau lub npe?

Tseeb: lub khoom ntawm ob polynomials yuav a polynomial tsis hais txog cov cim qhia ntawm tus thawj coefficients ntawm lub polynomials . Thaum twg ob polynomials yog multiplied, txhua lub sij hawm ntawm thawj polynomial yog multiplied los ntawm txhua lub sij hawm ntawm lub thib ob polynomial.

Ib yam li ntawd, puas yog cov lej ntawm ob lub polynomials ntawm degree 5 Ib txwm yog polynomial ntawm degree 5? Cov degree ntawm sum ntawm ob polynomials ib tus ntawm degree 5 yog daim 5 . Thaum ntxiv los yog rho tawm coefficients ntxiv thiab lub zog ntawm qhov sib txawv tsis cuam tshuam. Thaum lub sij hawm sib npaug thiab faib ob qho tib si coefficients thiab lub zog ntawm kev hloov pauv tau cuam tshuam.

Tom qab ntawd, ib tug kuj yuav nug, dab tsi yog qhov sum ntawm ob polynomials?

1 Teb. A polynomial yog a sum ntawm qee lub zog ntawm qee qhov sib txawv, nrog rau qee qhov coefficient los muab txhua lub zog. Summing ob polynomials tsuas txhais tau tias sum cov coefficients ntawm tib lub hwj chim, yog tias qhov xwm txheej no tshwm sim.

Puas yog cov lej ntawm peb cov polynomials yuav tsum yog polynomial?

1 Cov Lus Teb Saum ntawm ib tus naj npawb ntawm polynomials yog dua polynomial nrog ib tug degree tsis ntau tshaj qhov loj tshaj plaws degree ntawm summands ( polynomials yuav tsum summed).