Solve- x6 - 3x4 - 2x2- 3x2

(x^6 3x^2 + 2x^2) ÷ 3x^2 = x^6 3x^4 + 2x^23x^2 = x^63x^2 3x^43x^2 + 2x^23x^2 = 13x^4 x^2 + 23 Alternative Method:We can find the com ...

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Division of a Polynomial by a Monomial

Solve: x6 -...

Question

Solve: $(x^{6} - 3 x^{4} + 2 x^{2}) \div 3 x^{2}$

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Solution

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\int \frac{3 x^{2}}{x^{6} + 1} d x

\frac{3 x^{4} + x^{2} - 2 x - 3}{3 x^{4} - x^{2} + 2 x + 3} = \frac{5 x^{4} + 2 x^{2} - 7 x + 3}{5 x^{4} - 2 x^{2} + 7 x - 3}

x^{6} - 3 x^{4} + x^{3} - 2 x^{2} + 10

lim x \to - 2 \frac{x^{4} + 2 x^{3} + 3 x^{2} + 5 x - 2}{x^{5} + 3 x^{4} + 2 x^{3} + 3 x^{2} + 7 x + 2}

f (x) = \sqrt{x}

g (x) = \frac{3 x^{2} - x^{6}}{1 - 3 x^{4}}

h (x) = tan x,

(g \circ f \circ h) (\frac{π}{3})

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