Question

Dane są wielomiany u(x)=1/3x^4+2x^3+x+1 i w(x)=-x^6+3x^4+6x^3-2x-1 wyznacz wielomian p(x) taki Ze 3u(x)+p(x)=w(x)"

Answer 1

3u(x)+p(X)=w(x)

3(1/3x^4+2x^3+x+1)+p(x)= -x^6+3x^4+6x^3-2x-1
X^4+6x^3+3x+3+x^6-3x^4-6x^3-2x-1=-p(x)
x^6-2x^4+x+2=-p(x) /(-1)
-x^6+2x^4-x-2=p(x)