Oblicz sumę, różnicę oraz iloczyn wielomianów
W(x) = x^3 – 2x^2 + x – 1 , R(x) = x + 2
W(x) + R(x) =
W(x) - R(x) =
W(x) • R(x) =



Odpowiedź :

ZbiorJ

[tex]W(x)=x^{3} -2x^{2} +x-1\\\\R(x)=x+2\\\\W(x)+R(x)=x^{3} -2x^{2} +x-1+x+2=x^{3} -2x^{2} +2x+1\\\\W(x)-R(x)=x^{3} -2x^{2} +x-1-(x+2)=x^{3} -2x^{2} +x-1-x-2=x^{3} -2x^{2} -3\\\\W(x)\cdot R(x)=(x^{3} -2x^{2} +x-1)\cdot (x+2)=x^{4} +2x^{3} -2x^{3} -4x^{2} +x^{2} +2x-x-2=x^{4} -3x^{2} +x-2[/tex]