Question

Determine the type and degree of each of the following polynomial expressions

9x⁴ y⁹

x⁴-3x²+7x⁵

19a6b² + 8ab³c -27a⁷

Answer 1

The first polynomial expression is a monomial of degree 9, and the second polynomial expression is a trinomial of degree 7.

Step-by-step explanation:

The type and degree of each polynomial expression can be determined by examining the highest exponent of each term in the polynomial. Let's break down the given polynomial expressions:

1. 9x⁴ y⁹ x⁴-3x²+7x⁵: This polynomial is a degree 9 polynomial because the term with the highest exponent is y⁹. It is a monomial because it has only one term.
2. 19a6b² + 8ab³c -27a⁷: This polynomial is a degree 7 polynomial because the term with the highest exponent is a⁷. It is a trinomial because it has three terms.

Therefore, the first polynomial is a monomial of degree 9, and the second polynomial is a trinomial of degree 7.