Question

Use long division to find the quotient.

(r^2+4r-6)÷(r+5)

Answer 1

r - 1 + (-1) / (r+5)

Explanation:

1) divide r² by r to get r. write this on top.

2) multiply this r by r + 5 to get r² + 5r

3) subtract ( r² + 5r) from r² + 4r. this gives answer of -r

4) bring down the -6 from dividend

5) divide -r by r to get -1

6) multiply -1 by r + 5. this gives answer -r - 5

7) subtract (-r - 5) from -r - 6. this gives answer of -1

8) now we cannot divide -1 by r. that means -1 is our remainder.

9) you can confirm this by multiplying out (r + 5) (r - 1) = r² + 4r - 5.

this is 1 more than our original divisor (that was -6)