Question

Which of the following expressions are binomials?

• A. $7x+8xy$
• B. $1+2x+3y$
• C. $3x+7xy+yx$
• D. $3x+2y$

Answer 1

Answer: (A), (C), (D)

The correct options are
A

$7x+8xy$

C

$3x+7xy+yx$

D

$3x+2y$

A binomial is an algebraic expression consisting of two unlike terms.

A ) $7x+8xy$ has two unlike terms. So, it is a binomial.
B) $1+2x+3y$ has three unlike terms. So, it is not a binomial.
C) $3x+7xy+yx$ has three terms but can be simplified further as $3x+8yx$ as ($7xy$ and $yx$ are like terms). Hence it is a binomial.
D) $3x+2y$ has two unlike terms. So, it is a binomial.
Hence, options A, C, D are correct.