Chapter 4 - Polynomial and Rational Functions - 4.1 Polynomial Functions and Models - 4.1 Assess Your Understanding - Page 184: 27

polynomial, $n=4$. $G(x)=2x^4-4 x^3+4x^2-4x+2$, $2x^4$, $2$.

Step 1. Given $G(x)=2(x-1)^2(x^2+1)$, we can determine it is a polynomial function. Step 2. We can identify the degree as $n=4$. Step 3. In standard form $G(x)=2x^4-4 x^3+4x^2-4x+2$, we can identify the leading term as $2x^4$ and the constant term as $2$.