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1. show that z^6-z^3+1= (z^2-2zcos(pi/9)+1)(z^2-2zcos(5pi/9)+1)(z^2-2zcos(7pi/9)+1) 2. show that cos(5pi/9)cos(pi/9)+cos(5pi/9)cos(7pi/9)+cos(7pi/9)cos(pi/9)=-3/4

:santa: :confused:

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the complex number z=x+iy, x and y real, is such that mod of z-1 equals to Im(z) i)show that the locus of the pt P representing z has cartesian equation y=0.5(x^2+1) ii)find the gradients of the tangents to this curve which pass through the origin, hence find the set of possible values of...

:) : given that 3+2^0.5 is the root of the equation : x^3-11x^2+kx+l=0 . find the other roots of the equation

hey guys, could someone please help me with these problems?:wave: 1. if the polynomial 2x^2+4x+4 and a(x+1)^2+b(x+2)^2+c(x+3)^2 are equal for 3 values of x, find a, b and c. 2. the line y=k crosses the curve y=ax^3+bx^2+cx+d four times. find the values of a, b,c,d and k. 3. by factoring...