Question

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

Answer 1

Number of terms: Count. Here's one. 5x. Here's another: 3x^4. Count the rest. A "binomial" has only two terms.

Degree: Look at the powers of x. The first term is x to the first power. The second one is x to the fourth power. The degree is the highest power.

Answer 2

3 terms
3 degree

Answer 3

The degree of a polynomial is the greatest of the degrees of its terms, Here it is 4.

Answer 4

second choice...

Answer 5

$$5x + 3x^4 − 7x^3 + 10 $$