Determine the type and degree of each of the following polynomial expressions. 9xy,

x-3y+7x,

19ab+8abc-27a

monomial of degree 2

binomial of degree 1

trinomial of degree 3

Step-by-step explanation:

9xy    

1 term: monomial

add the exponents of each variable: 1 + 1 = 2

monomial of degree 2

x - 3y + 7x

Combine like terms: 8x - 3y

2 terms: binomial

Each term has exponent 1 on its variable. Each term is of degree 1.

binomial of degree 1

19ab + 8abc - 27a

3 terms: trinomial

Look at the exponents of the variables of each term.

19ab: 1 + 1 = 2: degree 2

8abc: 1 + 1 + 1 = 3: degree 3

-27a: degree 1

Degree of polynomial = degree of highest term

trinomial of degree 3