Question

Choose the correct classification of 5x + 3x^4 − 7x^3 + 10 by number of terms and by degree.

answers-

Third degree polynomial

Fourth degree polynomial

Sixth degree polynomial

First degree binomial

Answer 1

Put the degrees in order from highest to lowest (descending order, that is) and you'll get
`3x^(4) -7 x^(3)+5x+10`. The degree of a polynomial is equal to the highest exponent on a single term. Our highest exponent is a 4, so this is a fourth degree polynomial.