Question

Which of the following is a binomial?

• A. $9\times a+a$
• B. $3a\times 2b\times c$
• C. $6b^2+5a+c$​
• D. $5(a^2+b)$

Answer 1

The correct option is D

$5(a^2+b)$

A binomial is an algebraic expression which has two terms.

$9\times a+a=10a$ has only one term: $10a$. So, it is a monomial.

$3a\times 2b\times c=6abc$ has only one term: $6abc$. So, it is a monomial.

$6b^2+5a+c$​ has three unlike terms: $6b^2,5a$ and $c$. So it is a trinomial.

$5(a^2+b)=5a^2+5b$ has two unlike terms: $5a^2$ and $5b$. So it is a binomial.