Choose the correct classification of 5x + 3x⁴ - 7x³ + 10 by number of terms and by degree.
Third degree polynomial
Fourth degree polynomial
Sixth degree polynomial
First degree binomial

Solution:

Given: Polynomial 5x + 3x⁴ - 7x³ + 10

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

We get, f(x) = 3x⁴ - 7x³ + 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 + 3x⁴ - 7x³ + 10 by number of terms and by degree.

Summary:

The classification of 5x + 3x⁴ - 7x³ + 10 by number of terms and by degree is fourth degree polynomial.