# 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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