Question

Which expression is a trinomial of degree 1? A. x^3+x^2-x B. xy^2 C. 6+x-y D. 3x-y

Answer 1

C

Trinomial means three parts
A and C or trinomial's but the degree on a is at three and the degree of C is a one

Answer 2

Answer:  The expression is (C). 6 + x - y.

Step-by-step explanation:  We are given to select the expression that is a trinomial of degree 1.

A TRINOMIAL OF DEGREE 1 : It is an algebraic expression with three terms, where the maximum degree of unknown variables in the terms is 1.

(A) The first expression is $x^3+x^2-x.$

Here, we have three terms, so it is a trinomial and the highest power of the unknown variable is 3, not 1. Hence, it is a trinomial of degree 3.

So, option (A) is incorrect.

(B) The second expression is $xy^2.$

Here, we have only one term, so it is a monomial and the highest power of the unknown variables is 1 + 2 = 3, not 1. Hence, it is a monomial of degree 3.

So, option (B) is incorrect.

(C) The third expression is $6+x-y.$

Here, we have three terms, so it is a trinomial and the highest power of the unknown variable is 1. Hence, it is a trinomial of degree 1.

So, option (C) is incorrect.

(D) The fourth expression is $3x-y.$

Here, we have two terms, so it is a binomial and the highest power of the unknown variables is 1. Hence, it is a binomial of degree 1.

So, option (D) is incorrect.

Thus, option (C) is correct.