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
(1 point)
Responses
open parentheses x minus four closed parentheses squared over open parentheses x plus three closed parentheses open parentheses x plus one closed parentheses where x does not equal–3, –1
Image with alt text: open parentheses x minus four closed parentheses squared over open parentheses x plus three closed parentheses open parentheses x plus one closed parentheses where x does not equal –3, –1
open parentheses x plus four closed parentheses squared open parentheses x plus one closed parentheses over open parentheses x plus two closed parentheses squared open parentheses x plus three closed parenthess where x does not equal –3, –2, 4
Image with alt text: open parentheses x plus four closed parentheses squared open parentheses x plus one closed parentheses over open parentheses x plus two closed parentheses squared open parentheses x plus three closed parenthess where x does not equal –3, –2, 4
open parentheses x minus four closed parentheses squared over open parentheses x plus three closed parentheses open parentheses x plus one closed parentheses where x does not equal–4, –3, –2, –1, 4
Image with alt text: open parentheses x minus four closed parentheses squared over open parentheses x plus three closed parentheses open parentheses x plus one closed parentheses where x does not equal –4, –3, –2, –1, 4
one over open parentheses x plus three closed parentheses open parentheses x plus one closed parentheses where x does not equal –4, –3, –2, –1, 4
Image not provided.
The quotient in simplified form is:
(x - 4)^2 / ((x + 3)(x + 1))
Restrictions on the variable: x ≠ -3, -1