Vim li cas 2nd degree polynomial hu ua quadratic?
Vim li cas 2nd degree polynomial hu ua quadratic?
Anonim

Qhov no yog qhov xwm txheej vim tias quadratum yog lo lus Latin rau square, thiab txij li thaj tsam ntawm ib square ntawm sab ntev x yog muab los ntawm x2, a polynomial equation muaj exponent ob yog hu ua a plaub fab ("square-zoo li") equation. Los ntawm extension, a plaub fab nto yog qhov thib ob-order algebraic nto.

Ntxiv mus, 2nd degree polynomial hu ua dab tsi?

Thib ob degree polynomials kuj yog hu ua quadratic polynomials . Lawv cov duab yog lub npe hu ua ib parabola. Cov khoom tsim thaum lub parabola tig ntawm nws axis ntawm symmetry yog lub npe hu ua ib tug paraboloid, los yog parabolic reflector.

Ib yam li ntawd, ob lub hauv paus polynomial yog dab tsi? Ob tug keeb kwm yog sib npaug, lawv yog 5, 5. 5 yog hu ua a ob lub hauv paus . (Saib Zaj Lus Qhia 37 ntawm Algebra, Nqe Lus Nug 4.) Ntawm a ob lub hauv paus , daim duab tsis hla lub x-axis. A ob lub hauv paus tshwm sim thaum lub quadratic yog ib tug zoo meej square trinomial: x2 ± 2 ax + a2; uas yog, thaum lub quadratic yog lub square ntawm binomial: (x ± a)2.

Yog li, puas yog quadratic polynomial muaj degree ntawm 2?

A plaub fab equation yog ib qho uas muaj lub variable tsa rau lub hwj chim 2 . General equation ntawm A plaub fab equation is ax² + bx + c = 0. This polynomial muaj 2 kev daws teeb meem. Nws degree yog 2 tab sis tsis loj dua 2.

Vim li cas quadratic equations muaj ob txoj kev daws teeb meem?

1 Teb. A plaub fab kev qhia tuaj yeem sau ua cov khoom ntawm ob linear yam thiab txhua yam tuaj yeem sib npaug rau xoom, Yog li muaj nyob ob txoj kev daws teeb meem.

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