Question

Which of these is not a monomial? *
1 point
27abc ÷ 9c
16x² x 4x
5

Answer 1

Answer:

All of them are monomials.

Step-by-step explanation:

A monomial is a polynomial having single term.

The given expressions we can write as follows.

$\dfrac{27abc}{9c} = 3ab$

which is a monomial with coefficient 3 and variables $a$ and $b$.

$16x^{2}\times4x=64x^3$

This is also a monomial with coefficient 64 and variable $x$ with degree 3.

5 is also a monomial as it is a constant polynomial.

Answer 2

All of the given options are monomials.

• A monomial is defined as an algebraic expression containing only a single term with any number of variables and coefficients.
• A number with no variables (OR) a number which has only a numeric value is considered as a constant monomial.

Example: 3x, 3xy, 3, 3$x^{2}$ are considered as monomials, 3x + y, x - y are not considered as monomials.

• 27abc ÷ 9c is a monomial. The expression can be further reduced as,

=> 27abc÷9c = 3ab.

• Hence, this is a monomial.

• 16$x^{2}$ x 4$x$ is a monomial. The expression can be further reduced as,

=> 16$x^{2}$ x 4$x$ = 64$x^{3}$.

• As it is containing only a single term. 64$x^{3}$ is considered as a monomial.

• 5 is a monomial with no variables. The value 5 can also be written as,

=> 5 = 5 x $x^{0}$. (Since the value of $x^{0}$ is always 1 where x is not equal to 0).

• 5 is also considered as a monomial. It can also be called a constant monomial.

Therefore, all the given options are classified as monomials.