Question

introduction to polynomials
which statement is true?
all binomials are of degree 1.
all monomials are of degree 1.
all constants are of degree 0.
all trinomials are of degree 3.

Explanation:

• A binomial like $x^2 + 1$ has degree 2, so "All binomials are of degree 1" is false.
• A monomial like $x^3$ has degree 3, so "All monomials are of degree 1" is false.
• A constant term (e.g., 5, -2) has no variable, so its degree is defined as 0, making this statement true.
• A trinomial like $x^2 + x + 1$ has degree 2, so "All trinomials are of degree 3" is false.

Answer:

All constants are of degree 0