Choose the correct classification of 2x + 10x² - x³ by number of terms and by degree.
Third degree trinomial
Fourth degree trinomial
Sixth degree polynomial
First degree binomial

Solution:

The degree of a polynomial is the highest exponential power in the polynomial equation.

Only variables are considered to check for the degree of any polynomial, coefficients are to be ignored.

For an nth degree polynomial function with real coefficients and the variable is represented as x, having the highest power n, where n takes whole number values.

The equation given is 2x + 10x² - x³

The degree of a polynomial is based on the term with largest exponent

The given polynomial can be written as -x³ + 10x² + 2x

The largest exponent here is 3

So it is a third degree trinomial.

Therefore, the given polynomial is a third degree trinomial.

Choose the correct classification of 2x + 10x² - x³ by number of terms and by degree.

Summary:

2x + 10x² - x³ by number of terms and by degree is a third degree trinomial.