Video: Puas yog Pi yog polynomial?
2024 Tus sau: Lynn Donovan | [email protected]. Kawg hloov kho: 2023-12-15 23:47
Pi (π) tsis suav tias yog a polynomial . Nws yog tus nqi xa mus rau qhov ncig ntawm lub voj voog. Ntawm qhov tod tes, polynomial hais txog qhov sib npaug uas muaj plaub qhov sib txawv lossis ntau dua.
Ntawm no, pi puas tuaj yeem yog ib feem ntawm polynomial?
Cov lus teb yog NO. Yog muaj ib tug polynomial nrog algebraic coefficients, kuj yuav muaj polynomial nrog rational coefficient (nrog rau qib loj dua). Tias yog vim li cas ˉQ kaw algebraically kaw. Xav tias π yog lub hauv paus ntawm a polynomial f(x)=xn+an−1xn−1+⋯+a0 with the ai ua algebraic numbers.
Qhov thib ob, dab tsi ua rau polynomial? Hauv lej, a polynomial yog ib qho kev qhia uas muaj qhov sib txawv (tseem hu ua indeterminates) thiab coefficients, uas tsuas yog kev ua haujlwm ntawm kev sib ntxiv, rho tawm, sib faib, thiab tsis yog qhov tsis zoo ntawm cov lej exponent ntawm qhov sib txawv. Ib qho piv txwv ntawm a polynomial ntawm ib qho indeterminate, x, yog x2 4x + 7.
Hauv qhov no, Pi yog Monomial?
Yog, π π yog a monomial vim nws yog tus lej.
Puas yog polynomial yuav tsum muaj qhov sib txawv?
Yog li: A polynomial ua tau muaj tsis tu ncua, sib txawv thiab exponents, tab sis yeej tsis faib los ntawm a sib txawv . Kuj lawv ua tau muaj ib lossis ntau cov ntsiab lus, tab sis tsis yog tus lej ntawm cov lus tsis kawg.
Pom zoo:
Thawj degree polynomial yog dab tsi?
Thawj Degree Polynomials. Thawj degree polynomials tseem hu ua linear polynomials. Hauv particular, thawj degree polynomials yog cov kab uas tsis yog kab rov tav lossis ntsug. Feem ntau, tsab ntawv m yog siv los ua tus coefficient ntawm x tsis yog a, thiab yog siv los sawv cev rau txoj kab nqes
3rd degree polynomial yog dab tsi?
Thib peb degree polynomials tseem hu ua cubic polynomials. Cubics muaj cov yam ntxwv zoo li no: Ib mus rau peb lub hauv paus. Ob los yog xoom extrema. Cov hauv paus hniav yog solvable los ntawm radicals
Dab tsi yog qhov sib npaug polynomial?
Tsis tas li ntawd, ob lub polynomials sib npaug yog tias tag nrho cov coefficients ntawm ib qho yog qhov tsis tu ncua (tsis xoom) ntau ntawm cov coefficients sib thooj ntawm lwm tus
Puas yog qhov sib npaug ntawm ob lub polynomials ib txwm yog polynomial?
Qhov sib npaug ntawm ob lub polynomials yeej ib txwm yog polynomial, yog li qhov sib txawv ntawm ob polynomials kuj tseem yog ib qho polynomial
Koj tuaj yeem qhia tau li cas yog tias ib qho kev nthuav qhia yog polynomial?
Rau ib qho kev qhia los ua ib lub ntsiab lus polynomial, txhua qhov hloov pauv hauv cov lus qhia yuav tsum muaj tag nrho cov naj npawb powers (lossis lwm qhov ' nkag siab' lub zog ntawm 1, xws li hauv x1, uas ib txwm sau ua x). Ib tus lej dawb kuj tuaj yeem yog lo lus polynomial