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, że 3u(x)+p(x)=w(x)

Answer 1

3(1/3x^4+2x^3+x+1)+p(x)=-x^6+3x^4+6x^3-2x-1
p(x)=-x^6+3x^4+6x^3-2x-1-x^4-6x^3-3x-3
p(x)=-x^6+2x^4-5x-4

Answer 2

P(x)=w(x)-3u(x)
p(x)= x^6+3x^4+6x^3-2x-1 - (x^4+6x^3+3x+3)
p(x)=x^6+2x^4-5x-4