Polynomial αိုαာ αိα္းαွα္αα
္αုαဲ့ α‘ျαα့္αိα္း αα္αိα္းα်ားαာ αါαα္αဲ့ αိα္းαα္းαα
္αုေαါ့၊ αိα္းαံုး αα
္αုα်α္းα
ီαို α‘ေαါα္းα‘ႏႈα္ ααα‘αာေαြαဲα α်ိα္αα္αားαါαα္။ α‘ဲαီαိα္း αα
္αုα်α္းα
ီαို term αိုα ေαααါαα္။ Poly αိုαာ many αိုα α‘αိααΈာα္ααΏαီး nomial αိုαာ terms αိုα α‘αိααΈါα္ααါαα္။ αါ့ေαΎαာα့္ αံုးေαာα္αိုα္αိုα္ αာαာျαα္αိုα္αα္ polynomial αိုαာ many terms ေαါ့။
- 2x5 – 5x3 – 10x + 9
- 5x3 + 3x – 1
- ax2 + bx +c
- 2x
- –3
α
αာေαြαို polynomial αိုα ေαααါαα္။ –3 αာ ( – 3x0 ျαα
္αိုα polynomial α‘ျαα
္ αα္αွα္ ႏိုα္αါαα္)
$ \displaystyle 4x^2+3x-7$
α‘αα္α αိα္းαα္းαို αΎαα့္αα္αိုαα္ αα္αိα္းေαြ α‘αα့္αα့္ေျαာα္းαြားαဲ့ $ \displaystyle x$ αို αိα္းαွα္ (variable ) αိုα ေαααါαα္။ variable ေαွααွာ ေျαႇာα္αားαဲ့ 4, 3, –7 αိုααိုေαာ့ ေျαႇာα္ေαာ္αိα္း (coefficients) ေαြ αိုα ေαααါαα္။ –7 αဲ့ ေαာα္αွာ x0 αွိαα္αိုα αားαα္αားααါαα္။ x0 αိုαာ αα့္ေαးαိုα ααိုαဲ့ α‘αြα္ေαΎαာα့္ x0 αါαဲ့ terms αို αိα္းေα (constant term) αိုαေαααါαα္။
α‘αα္αွာ ေျαာαဲ့αဲ့α‘αိုα္း polynomial αဲ့ αα္αိα္းေαြαာ α‘ျαα့္αိα္း (0, l , 2, 3, ...) αဲ ျαα
္ααါαα္။ variable αဲ့ α‘ααီးαံုးαα္αိα္း αိုေαာ့ ၎ polynomial αဲ့ order αိုαααုα္ degree αိုαေαααါαα္။
- 2x5 – 5x3 – 10x + 9 (polynomial of order 5 (or) the fifth degree polynomial)
- 5x3 + 3x – 1 (polynomial of order 3 (or) the third degree polynomial)
- ax2 + bx +c (polynomial of order 2 (or) the second degree polynomial)
Polynomial αဲ့ αα္αိα္းေαြαာ α‘ႏႈα္αိα္း (negative numbers) α‘αိုα္းαိα္း (fraction) αျαα
္ααါαူး။ ေα‘ာα္αါαိα္းαα္းေαြαို polynomial αိုα ααα္αွα္ႏိုα္αါαူး။
$ \displaystyle \frac{3}{{{{x}^{2}}}}+\frac{2}{x}-5+10x$
$ \displaystyle 3{{x}^{{\frac{4}{3}}}}-2{{x}^{{\frac{1}{2}}}}+5$
Polynomial αα ္αုαို ေα်αုα် (general expression) α‘ေααဲα ေα‘ာα္αါα‘αိုα္း ေααျαႏိုα္αါαα္။
$ \displaystyle {{a}_{n}}{{x}^{n}}+{{a}_{{n-1}}}{{x}^{{n-1}}}+...+{{a}_{2}}{{x}^{2}}+{{a}_{1}}x+{{a}_{0}}$
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