Kalkulatori ya Tiger Algebra

Kupanga polynomials zenye variables nyingi kunahusisha kutambua factors ambazo ni common kwenye terms za polynomial na kuizungumzia kama product ya polynomials rahisi zaidi.

Process Hatua kwa Hatua

Ili kupanga polynomial yenye variables nyingi, fuata hatua hizi:

1. Tambua factors common kati ya terms za polynomial.
2. Tenga factor kubwa zaidi common (GCF) kutoka kila term.
3. Mwoneshe polynomial kama product ya GCF na factors zilizobaki.
4. Ikiwezekana, tena panga polynomial iliyobaki kutumia techniques zingine za kupanga kama grouping, difference of squares, au trinomial factoring.

Mfano

Hebu tupange polynomial zenye variables nyingi $$2x^{2}y+4x{y}^2$$:

Hatua ya 1: Tambua factors za common - factor ya common kati ya terms ni $$2xy$$.

Hatua ya 2: Tenga GCF - $$2xy\left(x+2y\right)$$.

Hatua ya 3: Sasa polynomial imepangwa kama $$2xy\left(x+2y\right)$$.

Kupanga polynomials zenye variables nyingi ni muhimu katika algebra na maeneo mengine ya hisabati kwa ajili ya kurahisisha expressions na kusolve equations.