Dane są wielomiany
w(x)=3x³-5x²+8x+1
u(x)=-2x²+5x-3
Wyznacz wielomiany
w(x)+u(x)
w(x)-u(x)
2w(x)-u(x)


Odpowiedź :

[tex]w(x)=3x^3-5x^2+8x+1\ \ \ \ \ \ u(x)=-2x^2+5x-3\\\\\\w(x)+u(x)=3x^3-5x^2+8x+1+(-2x^2+5x-3)=\\\\=3x^3-5x^2+8x+1-2x^2+5x-3=3x^3-7x^2+13x-2\\\\\\w(x)-u(x)=3x^3-5x^2+8x+1-(-2x^2+5x-3)=\\\\=3x^3-5x^2+8x+1+2x^2-5x+3=3x^3-3x^2+3x+4\\\\\\2w(x)-u(x)=2(3x^3-5x^2+8x+1)-(-2x^2+5x-3)=\\\\=6x^3-10x^2+16x+2+2x^2-5x+3=6x^3-8x^2+11x+5[/tex]