When dividing 4x+2y−82b , how many variables will be present in the quotient?

3 answers

When dividing an expression like \(4x + 2y - 82b\), the number of variables present in the quotient depends on the divisor used in the division.

  1. If you divide \(4x + 2y - 82b\) by a constant (e.g., a number like 2), the quotient will still have the same variables present in the original expression, which are \(x\), \(y\), and \(b\).

  2. If you divide by another expression that includes some or all of the variables in \(4x + 2y - 82b\), the variables in the quotient can change depending on the nature of the divisor.

Assuming we are simply dividing it by a constant or by a variable expression including the variables \(x\), \(y\), and \(b\), the quotient will typically still involve all of the variables present in the original expression. So, if no variables are canceled out, you would have variables \(x\), \(y\), and \(b\) present in the quotient.

In summary, under normal circumstances where you are not cancelling any variables, the original expression \(4x + 2y - 82b\) contains three variables: \(x\), \(y\), and \(b\). Therefore, the quotient will also typically have three variables, provided no variables are eliminated in the division process.

is the answer 0 1 2 3

The answer to your question of how many variables will be present in the quotient when dividing the expression \(4x + 2y - 82b\) is 3.

The expression contains three variables: \(x\), \(y\), and \(b\). Unless the divisor is specifically structured to eliminate one or more of these variables (for instance, dividing through by one of the variables), all three variables will remain present in the quotient.

So the count of variables in the quotient will typically be 3. If your answer choices were 0, 1, 2, or 3, the correct selection would be 3.