The generalized 9th degree polynomial is given below [tex]a_1x^9+a_2x^8+a_3x^7+a_4x^6+a_5x^5+a_6x^4+a_7x^3+a_8x^2+a_9x+a_{10}=0[/tex] where [tex]a_1,a_2,....a_9[/tex] are the coefficients and [tex]a_{10}[/tex] is constant. The polynomial [tex]x^9[/tex] is known as the nonic equation.
Given :
Polynomial -- [tex]x^9[/tex]
The following steps can be used in order to classify the given polynomial:
Step 1 - The generalized polynomial equation is given below:
[tex]a_1x+a_2x^2 + a_3x^3+a_4x^4+a_5x^5+.............+a_nx^n=0[/tex]
where [tex]a_1,a_2,....,a_n[/tex] are the coefficients.
Step 2 - The generalized quadratic equation is given below:
[tex]ax^2+bx+c=0[/tex]
where a, b are the coefficients and c is the constant.
Step 3 - So the generalized 9th degree polynomial is given by:
[tex]a_1x^9+a_2x^8+a_3x^7+a_4x^6+a_5x^5+a_6x^4+a_7x^3+a_8x^2+a_9x+a_{10}=0[/tex]
where [tex]a_1,a_2,....a_9[/tex] are the coefficients and [tex]a_{10}[/tex] is constant.
The polynomial [tex]x^9[/tex] is known as the nonic equation.
For more information, refer to the link given below:
https://brainly.com/question/2263981
