Dane są wielomiany u(x)=4x^5+2x^4+3x^2-8 i w(x)=2x+5x^2-6 Wyznacz wielomian p(x) taki, że u(x) -2p(x)=w(x) oraz Dane są wielomiany u(x)=4x^5+2x^4+3x^2+8 i w(x)=2x+5x^2-6 Wyznacz wielomian p(x) taki, że u(x) -2p(x)=w(x)

Dane są wielomiany [latex]u(x)=4x^5+2x^4+3x^2-8[/latex] [latex]w(x)=2x+5x^2-6[/latex] [latex]u(x) -2p(x)=w(x)[/latex] [latex]-2p(x)=w(x)-u(x) /:(-2)[/latex] [latex]p(x)= frac{u(x)-w(x)}{2}[/latex] [latex]p(x)=frac{4x^5+2x^4+3x^2-8-(2x+5x^2-6)}{2}[/latex] [latex]p(x)=frac{4x^5+2x^4+3x^2-8-2x-5x^2+6}{2}[/latex] [latex]p(x)=frac{4x^5 + 2x^4 - 2x^2 - 2x - 2}{2}[/latex] [latex]p(x)=2x^5 + x^4 - x^2 - x - 1[/latex] =============== [latex]u(x)=4x^5+2x^4+3x^2+8[/latex] [latex]w(x)=2x+5x^2-6[/latex] [latex]p(x)= frac{u(x)-w(x)}{2}[/latex] [latex]p(x)= frac{4x^5+2x^4+3x^2+8-(2x+5x^2-6)}{2}[/latex] [latex]p(x)= frac{4x^5+2x^4+3x^2+8-2x-5x^2+6}{2}[/latex] [latex]p(x)= frac{4x^5 + 2x^4 - 2x^2 - 2x + 14}{2}[/latex] [latex]p(x)= 2x^5 + x^4 - x^2 - x + 7[/latex]