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ivan_x3000
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Homework Statement
Let f(x), g(x), and h(x) be polynomials in x with real coefficients. Show that if (f(x))^2 −x(g(x))^2 =x(h(x))^2,
then f(x) = g(x) = h(x) = 0. Find an example where this is not the case when we use polynomials with complex coefficients.
i have no idea where to start here
Homework Equations
long division
euclid's algorithm
alpha, beta, gama roots
complex form
The Attempt at a Solution
I have no idea where to start here