Which of the following expressions does not have a monomial gcf?
a
3x2+12
b
4x2+10x−6
c
2x2−14x
d
x2−16

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:

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

Option A:

The GCF is 3:

Option B:

The GCF is 2:

Option C:

The GCF is 2x:

Option D:

This expression cannot be obtained a GCF

OPTION D

2 pounds of cherries cost 2x3.75 dollars = 7.5 dollars.
1.5 pounds of apples cost 1.5x2.25 = 3.375 dollars.
The total is $10.87.5 (rounded to $10.88)

For x pounds of cherries and y pounds of apples, the cost is 3.75x + 2.25y