Question

Which of the following expressions does NOT have a monomial GCF?

A
3x2+12

B
4x2+10x−6

C
2x2−14x

D
x2−16

Answer 1

For this case we have that by definition, a monomial is an algebraic expression that consists of a single term or in which the terms that form it are related by the product operation.

Example:

`2, x, 3x ^ 2y`

On the other hand, the GCF is the largest common factor that divides numbers without leaving any residue.

Option A:

`3x ^ 2 + 12`

The GCF is 3:

`3 (x ^ 2 + 4)`

Option B:

`4x ^ 2 + 10x-6`

The GCF is 2:

`2 (2x ^ 2 + 5x-3)`

Option C:

`2x ^ 2-14x`

The GCF is 2x:

`2x (x-7)`

Option D:

`x ^ 2-16`

This expression cannot be obtained a GCF

Answer:

OPTION D