Question

Out of the following algebraic expressions, identify the binomial.

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

Answer 1

The correct option is D $5(a^2+b)$

$\text{Expression which contain two terms}\text{is called a binomial.}$

$9\times a+a=10a\text{is a monomial}$.

$3a\times 2b\times c=6abc\text{is a monomial.}$

$6b^2+5a+c\text{has three terms},6b^2,5a\text{and}c.\text{Hence, it is a trinomial.}$

$5(a^2+b)=5a^2+5b\text{has two terms,}5a^2\text{and}5b.\text{So, it is a binomial.}$