Question

Which expression is a trinomial? x y – 13 4xyz.

a) xy - 13
b) x + y - 13
c) x²y - 13
d) x + y + 4xyz

Answer 1

The expression that is a trinomial, which means it has exactly three terms, is option b) x + y - 13.

Step-by-step explanation:

A trinomial is a polynomial with exactly three terms. Looking at the options provided, a trinomial should appear as something similar to ax2 + bx + c, where a, b, and c are constants, and x is the variable. Let's examine the options:

• Option a) xy - 13 has two terms, thus it is a binomial.
• Option b) x + y - 13 has three distinct terms, so this is a trinomial.
• Option c) x2y - 13 has two terms, making it a binomial.
• Option d) x + y + 4xyz has three distinct terms, but since we are looking for a simple trinomial with single variable terms, this is not a standard trinomial as it involves multiple variables in the third term.

Therefore, the expression that is a trinomial is b) x + y - 13.