Question

Describe the polynomials by degree and number of terms. (9a² - 25b²)

a) Degree 2, 2 terms
b) Degree 2, 1 term
c) Degree 4, 2 terms
d) Degree 4, 1 term

Answer 1

The polynomial (9a² - 25b²) is described as Degree 2 with 2 terms, because it contains terms up to the second degree and consists of two distinct terms.

Step-by-step explanation:

The polynomial presented in the question is (9a² - 25b²). To describe this polynomial by degree and number of terms, we analyze each part. The highest exponent in the polynomial is 2, found in the term 9a², so the degree of the polynomial is 2. Since there are two distinct terms, 9a² and -25b², it has two terms. Therefore, the correct description for this polynomial is Degree 2, 2 terms.