It is known that (x-1) is a factor of the polynomial 2x^3 - 7x^2 +3x +a
a=2
Hence or otherwise, find a polynomial g(x) such that the roots of g(x) =0 are doubled the value of the roots of f(x) = 0. I found earlier that the equation of 2 alfa and 2 beta is x^2 - 5x -1=0
Thanks.
g(x) = 2(0.5x)^3-7(0.5x)^2+3(0.5x)+2