Respuesta :

Given:

The polynomial is

[tex]r^3-r^2+9r[/tex]

To find:

Based on its number of terms name for the given polynomial.

Solution:

We have,

[tex]r^3-r^2+9r[/tex]

Here, number of terms is 3.

Any polynomial with three terms is known as trinomial.

Therefore, based on its number of terms the given polynomial [tex]r^3-r^2+9r[/tex] is called a trinomial.

The polynomial is called cubic polynomial.

The standard equation of a polynomial is expressed as:

  • [tex]a_nx^{n}+a_{n-1}x^{n-1}+...[/tex]

The type of a polynomial function depends on the degree and number of terms.

Given the polynomial function expressed as [tex]r^3 - r^2 + 9r[/tex], since there are just three terms in the polynomial function, hence the polynomial is called a cubic polynomial.

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