Question

A ____ polynomial is a polynomial with a degree of 3

Answer 1

Let's understand some definitions first:

Polynomial - an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s). (oxford languages)

When we have 1 term, we call it a monomial.

When we have 2 terms, we call it a binomial.

When we have 3 terms, we call it a trinomial.

Now,

• When the power of a variable is 1, we call it a line:

`\begin{gathered} x \\ 2x \\ \text{etc.} \end{gathered}`

• When the highest power is 2, we call it a quadratic polynomial:

`\begin{gathered} x^2 \\ 3x^2 \end{gathered}`

• When the highest power is 3, we call it a cubic polynomial:

`\begin{gathered} x^3 \\ -2x^3 \end{gathered}`

Question

A ____ polynomial is a polynomial with a degree of 3​

Answer

A cubic polynomial is a polynomial with a degree of 3​