Question

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

5th degree polynomial

4th degree polynomial

9th degree polynomial

24th degree polynomial

Answer 1

it’s a 4th degree polynomial. That is if the first term is 3x^4

Answer 2

The correct option is 2.

Explanation:

The given polynomial is

`3x^4-9x^3-3x^2+6`

In a polynomial, the highest degrees of its individual terms with non-zero coefficients is called degree of a polynomial.

The degrees of
`3x^4,-9x^3, -3x^2,6` are 4, 3, 2, 0 respectively.

In the given polynomial, the highest degree of its monomial is 4.

We can say that the given polynomial is 4th degree polynomial.

Therefore the correct option is 2.