Answer:
Option (b) is correct.
Given polynomial \(3x^4-9x^3-3x^2+6\) is 4th degree polynomial.
Step-by-step explanation:
Given polynomial \(3x^4-9x^3-3x^2+6\)
We have to choose the correct classification of given polynomial out of given option .
Degree of polynomial is the highest degree of polynomial having non zero coefficient.
5th degree polynomial is the polynomial having highest degree of variable is 5 with non zero coefficient.
4th degree polynomial is the polynomial having highest degree of variable is 4 with non zero coefficient.
9th degree polynomial is the polynomial having highest degree of variable is 9 with non zero coefficient.
24th degree polynomial is the polynomial having highest degree of variable is 24 with non zero coefficient.
Thus, for the given polynomial \(3x^4-9x^3-3x^2+6\) the highest degree is 3 of term \(3x^4\) with non zero coefficient 3.
Thus, Given polynomial \(3x^4-9x^3-3x^2+6\) is 4th degree polynomial.
Option (b) is correct.
