🏆 #3.

What is the quotient represented by the expression
8w^2−20w−12/2w+1​
for all values of w where the expression is defined?

1 answer

To find the quotient represented by the expression 8w^2 - 20w - 12 / 2w + 1, we first need to perform long division.

Divide 8w^2 - 20w - 12 by 2w + 1:

4w - 10
____________________
2w + 1 | 8w^2 - 20w - 12
- (8w^2 + 4w)
_______________
-24w - 12
- (-24w - 12)
_______________
0

Therefore, the quotient represented by the expression 8w^2 - 20w - 12 / 2w + 1 is 4w - 10.