Wyznacz współczynniki m i n wielomianów W i P tak, aby wielomiany te były te były równe, gdy: W(x) = (x+2) (2x^2 - 3) i P(x) = 2x^3 + mx^2 + nx - 6. Prosze o pomoc.

[latex]W(x) = P(x) \ \ W(x) = (x+2) (2x^2 - 3) qquad P(x) = 2x^3 + mx^2 + nx - 6 \ \ W(x) = (x+2) (2x^2 - 3) o W(x) = 2x^3-3x+4x^2-6 \ \ oxed{W(x)= 2x^3+4x^2-3x-6} \ \ P(x)= 2x^3+mx^2+nx+6 o oxed{m= 4} quad oxed{n=-3} \ \ P(x)= 2x^3+(4)x^2+(-3)x+6 \ \ P(x)= 2x^3+4x^2-3x+6 quad =quad W(x)= 2x^3+(4)x^2+(-3)x+6 [/latex]

(x+2) (2x^2 - 3)=2x^3 + mx^2+ nx - 6 2x^3 -3x +4x^2 -6=2x^3 + mx^2+ nx - 6 2x^3 +4x^2 -3x -6= 2x^3 + mx^2+ nx - 6 4x^2=mx^2 m=4 -3x=nx n=-3