Respuesta :

Answer:

Step-by-step explanation:

Hello, you need to divide the two polynomials.

[tex]\boxed{2x^2}(x+1)=2x^3+2x^2\\\\2x^3+3x-2x^3-2x^2=-2x^2+3x\\\\\boxed{-2x}(x+1)=-2x^2-2x\\\\-2x^2+3x+2x^2+2x=5x\\\\\text{So, we can write that}\\\\\Large \boxed{\sf \bf \dfrac{2x^3+3x}{x+1}=2x^2-2x+5+\dfrac{-5}{x+1}}[/tex]

B=-2

G(x)=-5

H(x)=x+1

Thanks