When dividing 4x+2y−8/2b , how many variables will be present in the quotient?(1 point)

Responses
.
2
2

1
1

3
3

0

1 answer

When dividing the expression \( 4x + 2y - 8 \) by \( 2b \), we need to look at the variables present in both the numerator and denominator.

The numerator \( 4x + 2y - 8 \) contains two variables, \( x \) and \( y \). The denominator \( 2b \) contains one variable, \( b \).

When performing the division, the resulting quotient will still involve all variables from the numerator and denominator. Therefore, the total number of different variables present in the quotient will be:

  • \( x \) from the numerator
  • \( y \) from the numerator
  • \( b \) from the denominator

This amounts to 3 different variables (\( x \), \( y \), and \( b \)).

Thus, the answer is:

3