What is the quotient when dividing 56r−124t ?

Question

Responses

11rt
Start Fraction 11 r over t End Fraction

11
11

14r−3
14 r minus 3

14r−3t

Answer 1

To find the quotient when dividing \( 56r - 124t \), we can factor out the greatest common factor (GCF) from the expression.

The GCF of \( 56 \) and \( 124 \) is \( 28 \).

So we can factor \( 28 \) out of the expression:

\[ 56r - 124t = 28(2r - 4.43t) \]

However, since \( 4.43 \) is not a common term, let's simplify it to check the dividend by dividing both coefficients \( 56 \) and \( 124 \) by \( 28 \):

1. Dividing the coefficients by the GCF:

\[ \frac{56}{28} = 2 \] \[ \frac{-124}{28} = -4.43 \]

This doesn't lead to a clean representation.

Let’s simplify using another approach. We can seek a simpler division to yield even coefficients, say:

If we were to divide each term by \( 4 \):

\[ \frac{56r}{4} - \frac{124t}{4} = 14r - 31t \]

This doesn't appear to correspond to the options either.

None of the options seem to match the original expression or its factors correctly. If we consider simple divisions with other constants or seek more options on the polynomial, please share if there are specific guidance or constraints you’d like me to consider further!