Question

Out of the following algebraic expressions, is a binomial.

• A. 9a + a
• B. 3a × 2b × 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.
$9\times a+a=10a$ which is a monomial.
$3a\times 2b\times c=6abc$ which is a monomial.
$6b^2+5a+c$​ has three terms, $6b^2$, $5a$ and $c$. So it is a trinomial.
$5(a^2+b)=5a^2+5b$ has two terms, $5a^2$ and $5b$. So it is a binomial.