Question

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

Answer 1

3 terms, third degree polynomial

the polynomial has 3 separate terms 2x, 10x² and - x³

The degree of a polynomial is determined by the term with the largest exponent, given the polynomial in standard form

that is : - x³ + 10x² + 2x

the largest exponent is 3 , hence third degree polynomial