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Dividimos polinômios, $18x^9-5x^7+7x^3-4x^2$ por $2x^3-x^2+4$
Aprenda online a resolver problemas divisão de polinômios passo a passo.
$\begin{array}{l}\phantom{\phantom{;}2x^{3}-x^{2}+4;}{\phantom{;}9x^{6}+\frac{9}{2}x^{5}+\frac{-\frac{1}{2}}{2}x^{4}+\frac{-\frac{145}{4}}{2}x^{3}+\frac{-\frac{289}{8}}{2}x^{2}+\frac{-\frac{273}{16}}{2}x\phantom{;}+\frac{\frac{2271}{32}}{2}\phantom{;}\phantom{;}}\\\phantom{;}2x^{3}-x^{2}+4\overline{\smash{)}\phantom{;}18x^{9}\phantom{-;x^n}-5x^{7}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+7x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}2x^{3}-x^{2}+4;}\underline{-18x^{9}+9x^{8}\phantom{-;x^n}-36x^{6}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-18x^{9}+9x^{8}-36x^{6};}\phantom{;}9x^{8}-5x^{7}-36x^{6}\phantom{-;x^n}\phantom{-;x^n}+7x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}2x^{3}-x^{2}+4-;x^n;}\underline{-9x^{8}+\frac{9}{2}x^{7}\phantom{-;x^n}-18x^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-9x^{8}+\frac{9}{2}x^{7}-18x^{5}-;x^n;}-\frac{1}{2}x^{7}-36x^{6}-18x^{5}\phantom{-;x^n}+7x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}2x^{3}-x^{2}+4-;x^n-;x^n;}\underline{\phantom{;}0.5x^{7}-\frac{1}{4}x^{6}\phantom{-;x^n}+x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;\phantom{;}0.5x^{7}-\frac{1}{4}x^{6}+x^{4}-;x^n-;x^n;}-\frac{145}{4}x^{6}-18x^{5}+x^{4}+7x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}2x^{3}-x^{2}+4-;x^n-;x^n-;x^n;}\underline{\phantom{;}36.25x^{6}-\frac{145}{8}x^{5}\phantom{-;x^n}+72.5x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;;\phantom{;}36.25x^{6}-\frac{145}{8}x^{5}+72.5x^{3}-;x^n-;x^n-;x^n;}-\frac{289}{8}x^{5}+x^{4}+79.5x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}2x^{3}-x^{2}+4-;x^n-;x^n-;x^n-;x^n;}\underline{\phantom{;}36.125x^{5}-\frac{289}{16}x^{4}\phantom{-;x^n}+72.25x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;;;\phantom{;}36.125x^{5}-\frac{289}{16}x^{4}+72.25x^{2}-;x^n-;x^n-;x^n-;x^n;}-\frac{273}{16}x^{4}+79.5x^{3}+68.25x^{2}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}2x^{3}-x^{2}+4-;x^n-;x^n-;x^n-;x^n-;x^n;}\underline{\phantom{;}17.0625x^{4}-\frac{273}{32}x^{3}\phantom{-;x^n}+34.125x\phantom{;}\phantom{-;x^n}}\\\phantom{;;;;;\phantom{;}17.0625x^{4}-\frac{273}{32}x^{3}+34.125x\phantom{;}-;x^n-;x^n-;x^n-;x^n-;x^n;}\frac{2271}{32}x^{3}+68.25x^{2}+34.125x\phantom{;}\phantom{-;x^n}\\\phantom{\phantom{;}2x^{3}-x^{2}+4-;x^n-;x^n-;x^n-;x^n-;x^n-;x^n;}\underline{-70.96875x^{3}+\frac{2271}{64}x^{2}\phantom{-;x^n}-141.9375\phantom{;}\phantom{;}}\\\phantom{;;;;;;-70.96875x^{3}+\frac{2271}{64}x^{2}-141.9375\phantom{;}\phantom{;}-;x^n-;x^n-;x^n-;x^n-;x^n-;x^n;}\frac{6639}{64}x^{2}+34.125x\phantom{;}-141.9375\phantom{;}\phantom{;}\\\end{array}$
Aprenda online a resolver problemas divisão de polinômios passo a passo. (18x^9-5x^77x^3-4x^2)/(2x^3-x^2+4). Dividimos polinômios, 18x^9-5x^7+7x^3-4x^2 por 2x^3-x^2+4. Da divisão, obtemos o seguinte polinômio como resultado.
