Question

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Three times of $p$ and two times of $q$ are multiplied and then subtracted from $r$.

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.

Three times of $p$ is,

$3p$

Two times of $q$ is,

$2q$

Now, three times of $p$ and two times of $q$ are multiplied as,

$3p\times 2q=6pq$

Then, $6pq$ subtracted from $r$,

$r–6pq$

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 $r–6pq$ and it is a binomial.