# Choose the correct classification of 3x^{4} - 9x^{3} - 3x^{2} + 6.

5th degree polynomial

4th degree polynomial

9th degree polynomial

24th degree polynomial

**Solution:**

The correct classification of the polynomial 3x^{4} - 9x^{3} - 3x^{2} + 6 is that it is a 4th degree polynomial.

The reason is that the highest power of x is 4 and hence it is 4th degree.

It is a polynomial because it has more than one term which include lower powers of x i.e. - 9x^{3} , - 3x^{2} , and 6x^{0}.

The degree of the polynomial is decided by the highest power of the variable it carries. In the given problem the highest power of x is four.

Let us take another example in which each term has more than one variable as shown below: 6x^{2}y + 8x^{2} - 30y - 40

In this case the degree of the polynomial is 3 which is obtained by adding the powers of x and y in

The first term i.e. 6x^{2}y which 2 + 1 = 3.

## Choose the correct classification of 3x^{4} - 9x^{3} - 3x^{2} + 6.

**Summary:**

The correct classification of the polynomial 3x^{4} - 9x^{3} - 3x^{2} + 6 is that it is a 4th degree polynomial.

visual curriculum