Wyznacz wielomiany $f(x) = u(x)\cdot w(x)$ oraz $g(x) = [u(x)]^2 - w(x)$.
a) $u(x) = x^2 + 3x - 1$, $w(x) = x^4 - 6x^3 - 2x^2$
b) $u(x) = x^4 - x^2 + 1$, $w(x) = -6x^3 + 2x^2 - 1$
c) $u(x) = x^3 - x^2 + x + 1$, $w(x) = 3x^2 - 2x + 1$
d) $u(x) = 2x^2 - x$, $w(x) = x^3 + x$
e) $u(x) = x^2 + 1$, $w(x) = x^4 - 1$
f) $u(x) = x - 3$, $w(x) = x^2 - 9$