EE06:3x^(4)-4x^(3)-3x-1quad " an "(x-1)" is tho ellue "2

If the order of ax^(5) + 3x^(4) + 4x^(3) + 3x^(2) + 2x +1 is 4 then a = …………..

3x-(x-2)/(3)=4-(x-1)/(4)

The equation x ^(4) -2x ^(3)-3x^2 + 4x -1=0 has four distinct real roots x _(1), x _(2), x _(3), x_(4) such that x _(1) lt x _(2) lt x _(3)lt x _(4) and product of two roots is unity, then : x _(1)x _(2) +x_(1)x_(3) + x_(2) x _(4) +x_(3) x _(4)=

The equation x ^(4) -2x ^(3)-3x^2 + 4x -1=0 has four distinct real roots x _(1), x _(2), x _(3), x_(4) such that x _(1) lt x _(2) lt x _(3)lt x _(4) and product of two roots is unity, then : x _(1)x _(2) +x_(1)x_(3) + x_(2) x _(4) +x_(3) x _(4)=

If F(x)=int((1+x)[(1-x+x^(2))(1+x+x^(2))+x^(2)])/(1+2x+3x^(2)+4x^(3)+3x^(4)+2x^(5)+x^(6))dx then find the value of [F(99)-F(3)]

The equation x^(4) -2x^(3) - 3x^(2) + 4x-1=0 has four distinct real roots x_1,x_2,x_3,x_4 such that x_1 lt x_2 lt x_3 lt x_4 and product of two roots is unity , then : x_1x_2+x_1x_3 + x_2x_4+x_3x_4 is equal to :

Divide the polynomial 2x ^(4) - 4x ^(3) - 3x -1 by (x-1)

If y = tan ^(-1) ((2x )/( 1 -x ^(2))) + tan ^(-1) ((3x - x ^(3))/( 1 - 3x ^(2)))- tan ^(-1) ((4x - 4x ^(3))/( 1 - 6x + x ^(4))), then show that (dy)/(dx) = (1)/(1 + x ^(2)).