Answer:
- quadratic: -3x²
- linear: 0x or "none"
- constant: 1
Explanation:
This is a question about naming parts of a polynomial. The attached image has more on the subject.
Degree
The word "degree" refers to the number of times a variable is a factor in a term. When there is only one variable, the degree of the term is the exponent of the variable. A missing exponent is understood to be 1. A missing variable is understood to have a degree of 0.
When there are two or more variables, the degree of the term is the sum of their exponents.
In some cases, we're only interested in the degree associated with a particular variable. For example, 7x²y³ is a 5th-degree term that is 2nd degree in x and 3rd degree in y.
Quadratic term
A "quadratic" term is one that has degree 2, or one in which the variable of interest has degree 2.
In the given function definition, the term -3x² is the quadratic term.
Linear term
A "linear" term is one that has degree 1.
In the given function definition, there is no linear term.
If you must identify one, it would be 0x, a degree-1 term with a coefficient of 0.
Constant term
A "constant" term is one that has no variables, or no variables of interest. It has degree zero.
For example, in the expression x² +2ax +a², when we are concerned with the variable x, the a² term is called the "constant" term because it does not contain the variable x. The same expression could be considered as a quadratic in 'a', in which case the x² term would be the "constant term."
In the given function definition, the term 1 is the constant term.