Answer
It is a polynomial $G(x) =2x^4-4x^3+4x^2-4x+2$ of degree: $4$
Leading term: $2x^4$
Constant: $2$
Work Step by Step
We re-arrange the given function as follows:
$ G(x)= 2 (x-1)^2 (x^2+1) \\ =2x^4-4x^3+4x^2-4x+2$
A polynomial can be defined as a function containing only terms where $x$ is raised to a positive, integer power or constant. We can see from the given function that it is a polynomial. The degree is equal to the power of the term with the highest power, so the degree is $4$. Also, the constant value is $2$.
The term with the highest degree is always known as the leading term; that is, $2x^4$.
It is a polynomial $G(x) =2x^4-4x^3+4x^2-4x+2$ of degree: $4$
Leading term: $2x^4$
Constant: $2$
