Respuesta :

the degree is the power of the highest powered placeholder
it is 3x^4
4th degree

Answer:

Option (b) is correct.

Given polynomial [tex]3x^4-9x^3-3x^2+6[/tex] is 4th degree polynomial.

Step-by-step explanation:

Given polynomial [tex]3x^4-9x^3-3x^2+6[/tex]

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 [tex]3x^4-9x^3-3x^2+6[/tex] the highest degree is 3 of term [tex]3x^4[/tex] with non zero coefficient 3.

Thus, Given polynomial [tex]3x^4-9x^3-3x^2+6[/tex] is 4th degree polynomial.

Option (b) is correct.