Question

If we subtract a monomial from a binomial, then answer is at least a binomial. State whether the statement given is True or False.

• A. True
• B. False

Answer 1

The correct option is B False

Verify the statement.

A polynomial with exactly one term is called a monomial.

Binomial—A polynomial with exactly two terms is called a binomial.

Let's consider a binomial $-2xy+z$ and a monomial $-z$.

If we add $-2xy+z$ and $-z$, we get

$$\begin{gathered} -2xy+z+\left(-z\right) \\ =-2xy \end{gathered}$$

Since $-2xy$ is a monomial.

Thus it is not necessary that the result will be a binomial.

Hence the given statement is False.