Understanding the Degree of a Polynomial

A polynomial with a degree of ______ is known as a constant polynomial.

The term for a polynomial of degree ______ is a linear polynomial.

A polynomial of degree two is referred to as a ______ polynomial.

A ______ polynomial is the name given to a polynomial with a degree of three.

Polynomials with degrees four and five are called ______ and ______ polynomials, respectively.

Polynomials of degrees higher than five do not possess ______ names.

A parabola is the graphical representation of a ______ polynomial, which can have at most two real roots.

Degree of zero polynomial

Reason for zero polynomial's infinite roots

Homogeneity criteria for polynomials

The ______ property of addition allows polynomials to be written with terms in any sequence.

Univariate polynomials are typically arranged in ______ order of their degrees.

Terms in a polynomial that have the same variables and exponents are known as ______ terms.

Combining like terms by adding their coefficients may result in terms with a ______ coefficient.

When terms have a zero coefficient, they are usually ______ from the polynomial.

Definition: Monomial

Polynomial term structure: Binomial vs. Trinomial

A polynomial with ______ coefficients will only produce outputs that are also ______ when given real inputs.

Definition of a bivariate polynomial