pqr + xyz is what type of polynomial?

Given:

Expression: pqr + xyz

Formula used:

A polynomial is classified based on the number of terms:

- Monomial: 1 term

- Binomial: 2 terms

- Trinomial: 3 terms

- None of the above: if it does not fit into any category

Calculation:

The given polynomial is pqr + xyz.

⇒ It has 2 terms: "pqr" and "xyz".

⇒ A polynomial with 2 terms is classified as a binomial.

Alternate Method 

Polynomial: It's an expression consisting of variables and coefficients, involving operations like addition, subtraction, and non-negative integer exponents.

Terms: The expression has two distinct terms: "pqr" and "xyz". Terms are separated by addition or subtraction signs.

"pqr" is a single term because p, q, and r are multiplied together.

"xyz" is a single term because x, y, and z are multiplied together.

Binomial: A polynomial with exactly two unlike terms is called a binomial.

∴ The correct answer is option (2).