# Choose the correct classification of 5x + 3x^{4} - 7x^{3} + 10 by number of terms and by degree.

Third degree polynomial

Fourth degree polynomial

Sixth degree polynomial

First degree binomial

**Solution:**

Given: Polynomial 5x + 3x^{4} - 7x^{3} + 10

Arrange the given equation in the descending order of the exponents of x

We get, f(x) = 3x^{4} - 7x^{3} + 5x + 10. This is the standard form of the polynomial.

Now, the degree of a polynomial is defined as the highest power of variable x in the f(x)

Hence , the given polynomial is of degree 4

We can say it is a fourth-degree polynomial.

## Choose the correct classification of 5x + 3x^{4} - 7x^{3} + 10 by number of terms and by degree.

**Summary:**

The classification of 5x + 3x^{4} - 7x^{3} + 10 by number of terms and by degree is fourth degree polynomial.