Question

Choose the correct classification of 3x4 − 9x3 − 3x2 + 6.

5th degree polynomial

4th degree polynomial

9th degree polynomial

24th degree polynomial

Answer 1

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

Answer 2

Option (b) is correct.

Given polynomial
`3x^4-9x^3-3x^2+6` is 4th degree polynomial.

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.