Ntawm kev faib cov polynomials?

2024 Tus sau: Fiona Howard | [email protected]. Kawg hloov kho: 2024-01-10 06:38

Txhua yam lus ntawm ntau tus lej a( x) / b(x) tuaj yeem sau ua q(x) + r(x) / b(x), qhov twg qib ntawm r(x) tsawg dua qhov degree ntawm b(x). Piv txwv li, (x²-3x+5)/(x-1) tuaj yeem sau ua x-2+3/(x-1).

txhais li cas los ntawm kev faib cov polynomials?

Kev faib cov lej yog kev ua lej lej uas peb faib cov lej los ntawm lwm tus lej, feem ntau nrog qib qis dua piv rau cov nyiaj faib. Kev faib ntawm ob lub polynomials yuav los yog tsis ua rau ib tug polynomial.

Vim li cas peb thiaj yuav tsum faib cov polynomials?

Simplifying ib qho kev nthuav qhia kom ua tau hauj lwm ntxiv nrog nws Piv txwv li, faib ntawm ib tug polynomial los ntawm lwm tus yuav txo tau cov degree ntawm qhov tshwm sim, muab ib tug yooj yim qhia rau koj. uas ua haujlwm. Polynomial division yuav pab tau rau koj tom qab kawm ntawm infinite series, ib qho tseem ceeb heev.

Tus nqi ntawm ob lub npe yog dab tsi?

Ib qho kev qhia meej yog ib qho lus ntawm ob lub npe. Piv txwv li: 2x2 − x + 1.

Koj faib cov piv txwv polynomial li cas?

Sib faib Polynomials

1. Example: Ntsuas (x^{2 + 8x) ÷ x.}
2. Solution: (x² + 8x) ÷ x.=[x^{2 ÷ x] + [8x ÷ x]=x + 8.}
3. Example: Ntsuas (4y⁴ – y³ + 2y²) ÷ (-y²⁾
4. Solution: (4y⁴– y³ + 2y²) ÷ (– y²)=[4y⁴÷ –y²] + [– y3 ÷ –y ²] + [2y² ÷ –y²]=–4y^{2+ y – 2.}