What is the quotient in simplified form? State any restrictions on the variable.
x squared minus sixteen over x squared plus five x plus six divided by x squared plus five x plus four over x squared minus two x minus eight
The simplified quotient is:
(x - 4) / (x - 1)
Restrictions on the variable: x ≠ 1, x ≠ -4, x ≠ -2.
This restriction is due to the denominator of x - 1 requiring that x cannot be equal to 1, and the denominator of x - 4 requiring that x cannot be equal to 4, and the denominator of x - 2 requiring that x cannot be equal to 2.