It Is Desired to Build a Regression Model to Predict $\mathrm { y } =$

It is desired to build a regression model to predict $\mathrm { y } =$ the sales price of a single family home, based on the $\mathrm { x } _ { 1 } =$ size of the house and $x _ { 2 } =$ the neighborhood the home is located in. The goal is to compare the prices of homes that are located in two different neighborhoods. A complete 2nd-order model is proposed. Which regression model proposes the complete 2nd-order model?
A) $E(y)=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{2}$
B) $E(y)=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{2}+\beta_{3} x_{1} x_{2}$
C) $E(y)=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{1}^{2}+\beta_{3} x_{2}+\beta_{4} x_{2}{ }^{2}$
D) $E(y)=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{1}^{2}+\beta_{3} x_{2}+\beta_{4} x_{1} x_{2}+\beta_{3} x_{1}^{2} x_{2}$