Question

Which of the following is a monomial of degree 3?

• A. $x^3+1$
• B. $8y^3+2y+1$
• C. $7x^3$
• D. $3x$

Answer 1

The correct option is C $7x^3$

A monomial is a polynomial expression that has only 1 term.

The degree of a polynomial is the highest sum of the exponents of the variables in the polynomial.

So, we need to find an expression with only 1 term and whose highest power of the variable is 3.

Hence, the correct option is$7x^3.$

Let's check other options as well.
In $x^3+1$, the expression has a degree of 3. But it is not a monomial as it has two terms.

In $3x$, the expression has a degree of 1.

$8y^3+2y+1$ has a degree of 3, but it has total of 3 terms.