Question

Greg says that the expression xyz has three terms because it uses three different variables. Determine whether Greg's reasoning is correct and

explain why or why not.*

A.Greg is correct but his reasoning is incorrect. The three terms are x, y, and z because they are actually separated by multiplication, even though the multiplication symbol is
not shown.

B.Greg is not correct. The expression xyz has no terms because there are no plus or
minus signs.

C.Greg is correct. Every variable in an expression is a term. This means that x, y, and z
are the three terms of the expression xyz.

D.Greg is not correct. The expression xyz has one term, xyz. It is the only term because
there are no other parts separated by a plus or minus sign.

Answer 1

9514 1404 393

Answer:

D. Greg is not correct. The expression xyz has one term, xyz. It is the only term because there are no other parts separated by a plus or minus sign.

Explanation:

A term is a constant or a product.* Factors may include a constant and any number of variables raised to any powers. If the term is a monomial, it contains no parentheses, and the powers of any variables are non-negative integers.

The product xyz is one term. (choice D)

_____

* In general, a term is any designated expression, of any complexity. In Algebra courses, we're generally concerned with monomials, terms that can make up polynomials.