a)
\(P(x)=5x^5-4x^4-2x^3+4x^2+3x+6\)
\(Q(x)=-x^5+2x^4-2x^3+3x^2-x+\dfrac{1}{4}\)
b)
\(H(x)=5x^5-4x^4-2x^3+4x^2+3x+6-x^5+2x^4-2x^3+3x^2-x+\dfrac{1}{4}\)
\(H(x)=4x^5-2x^4-4x^3+7x^2+4x+\dfrac{25}{4}\)
\(K(x)=5x^5-4x^4-2x^3+4x^2+3x+6+x^5+2x^4-2x^3+3x^2-x+\dfrac{1}{4}\)
\(K(x)=6x^5-2x^4-4x^3+7x^2+4x+\dfrac{25}{4}\)
c)
\(H(x)=4x^5-2x^4-4x^3+7x^2+4x+\dfrac{25}{4}=0\)
Vậy \(H(x)\) không có nghiệm.
