Polynomials

Algebra Level 4

\[\large (a-c)(b-c)(a+d)(b+d)\]

If \(a\) and \(b\) are the zeros of \(f(x)= x^2+px+1\), and \(c\) and \(d\) are the zeros of \(g(x)= x^2+qx+1\). What is the value of the expression above?

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