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x^(5)+x^(4)+x^(3)+x^(2)...

x^(5)+x^(4)+x^(3)+x^(2)

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Expand the polynomial P(x) =x^(5) -2x^(4)+x^(3)-x^(2)+2x-1 in powers of the binomial x - 1 using Taylor formula .

Check if g(x) = x^(3) - 3x + 1 is a factor of p(x) = x^(5) - 4x^(3) + x^(2) +3x + 1 .

The equation whose roots are exceed by 1 then those of x^(5) + 5x^(4) + 3x^(3) + x^(2) + x - 1 = 0 is

int(3x^(2)+2x)/(x^(6)+2x^(5)+x^(4)+2x^(3)+2x^(2)+5)dx=

int(3x^(2)+2x)/(x^(6)+2x^(5)+x^(4)+2x^(3)+2x^(2)+5)dx=

int(3x^(2)+2x)/(x^(6)+2x^(5)+x^(4)+2x^(3)+2x^(2)+5)dx=

int(3x^(2)+2x)/(x^(6)+2x^(5)+x^(4)+2x^(3)+2x^(2)+5)dx=

Evaluate int_(2)^(3)(2x^(5)+x^(4)-2x^(3)+2x^(2)+1)/((x^(2)+1)(x^(4)-1))dx

Evaluate: int_(2)^(3)(2x^(5)+x^(4)-2x^(3)+2x^(2)+1)/((x^(2)+1)(x^(4)-1))dx