Simplify the rational expression. State any restriction on the variable.

Question

k2−4k−32k+4
𝑘
2
−
4
𝑘
−
32
𝑘
+
4
(1 point)
Responses

k+8; k≠−4
𝑘
+
8
;

𝑘
≠
−
4
k+8; k≠−4
𝑘
+
8
;

𝑘
≠
−
4

k−8; k≠−4
𝑘
−
8
;

𝑘
≠
−
4
k−8; k≠−4
𝑘
−
8
;

𝑘
≠
−
4

k+8; There are no restrictions
𝑘
+
8
;

𝑇
ℎ
𝑒
𝑟
𝑒

𝑎
𝑟
𝑒

𝑛
𝑜

𝑟
𝑒
𝑠
𝑡
𝑟
𝑖
𝑐
𝑡
𝑖
𝑜
𝑛
𝑠

k+8; There are no restrictions
𝑘
+
8
;

𝑇
ℎ
𝑒
𝑟
𝑒

𝑎
𝑟
𝑒

𝑛
𝑜

𝑟
𝑒
𝑠
𝑡
𝑟
𝑖
𝑐
𝑡
𝑖
𝑜
𝑛
𝑠


k−8; There are no restrictions

Answer 1

k+8; k≠−4
𝑘
+8;
𝑘
≠
−4

In this simplified rational expression, the restriction on the variable is that k cannot be equal to -4.