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

A
3x2+12

B
4x2+10x−6

C
2x2−14x

D
x2−16

Respuesta :

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:

[tex]2, x, 3x ^ 2y[/tex]

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

Option A:

[tex]3x ^ 2 + 12[/tex]

The GCF is 3:

[tex]3 (x ^ 2 + 4)[/tex]

Option B:

[tex]4x ^ 2 + 10x-6[/tex]

The GCF is 2:

[tex]2 (2x ^ 2 + 5x-3)[/tex]

Option C:

[tex]2x ^ 2-14x[/tex]

The GCF is 2x:

[tex]2x (x-7)[/tex]

Option D:

[tex]x ^ 2-16[/tex]

This expression cannot be obtained a GCF

Answer:

OPTION D

Answer:

d

Step-by-step explanation: