Question

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Two times $q$ subtracted from cube of $q$.

Answer 1

Write algebraic expression of given statement and identify whether it is monomial, binomial or trinomial.

An expression that contains only single term is known as monomial.

An expression that consist of two terms is known as binomial.

An expression that contains three terms is known as trinomial.

Now, two times $q$ is,

$2q$

The cube of $q$ is,

$q^3$

According to question, two times $q$ is subtracted from cube of $q$. The algebraic expression is,

$q^3–2q$

Identify the above expression as monomial, binomial or trinomial.

The obtained expression consist of two terms, so it is a binomial.

Therefore, the obtained expression is $q^3–2q$ and it is a binomial.