diff --git a/lib/recursive-methods.rb b/lib/recursive-methods.rb
index fbf6faa..e510ae9 100644
--- a/lib/recursive-methods.rb
+++ b/lib/recursive-methods.rb
@@ -1,49 +1,106 @@
 # Authoring recursive algorithms. Add comments including time and space complexity for each method.
 
-# Time complexity: ?
-# Space complexity: ?
+# Time complexity: O(n)
+# Space complexity: O(n)
 def factorial(n)
-    raise NotImplementedError, "Method not implemented"
+  return 1 if n == 0
+  raise ArgumentError, "must be a number greater than 0." if n < 0
+
+  return 1 if n == 1
+  return n * factorial(n - 1)
 end
 
-# Time complexity: ?
-# Space complexity: ?
-def reverse(s)
-    raise NotImplementedError, "Method not implemented"
+# Time complexity: O(n)
+# Space complexity: O(1)
+
+def reverse(string, rev = "", first = 0)
+  if rev.length == string.length
+    return rev
+  end
+  rev = string[first] + rev
+  reverse(string, rev, first + 1)
 end
 
-# Time complexity: ?
-# Space complexity: ?
-def reverse_inplace(s)
-    raise NotImplementedError, "Method not implemented"
+# Time complexity: O(n)
+# Space complexity: O(1)
+
+#All the variables that you have to change would go in the parameters.
+def reverse_inplace(s, first = 0, last = s.length - 1)
+  #This is usually the condition in the loop, reversed. Example while first < last becuase your saying when should I stop not when should i keep going.
+  if first >= last
+    return s
+  end
+  #this is the inside of the loop
+  temp = s[first]
+  s[first] = s[last]
+  s[last] = temp
+
+  # this is the bottom of the loop where you say i += 1
+  return reverse_inplace(s, first + 1, last - 1)
 end
 
-# Time complexity: ?
-# Space complexity: ?
+# Time complexity: O(1)
+# Space complexity: O(1)
+
+#I want to add n to itself,but I don't now what my base case would be
 def bunny(n)
-    raise NotImplementedError, "Method not implemented"
+  return ears = (n + n)
+  bunny(n)
 end
 
-# Time complexity: ?
-# Space complexity: ?
-def nested(s)
-    raise NotImplementedError, "Method not implemented"
+# Time complexity: O(n)
+# Space complexity: O(n)
+def nested(s, first = 0, last = s.length - 1)
+  if first >= last  
+   return true
+  end
+
+  if s[first] == s[last] || s.length % 2 == 1
+    return false
+  end
+
+  #this is the inside of the loop
+  return nested(s, first + 1, last - 1)
 end
 
 # Time complexity: ?
 # Space complexity: ?
 def search(array, value)
-    raise NotImplementedError, "Method not implemented"
+  raise NotImplementedError, "Method not implemented"
 end
 
-# Time complexity: ?
-# Space complexity: ?
-def is_palindrome(s)
-    raise NotImplementedError, "Method not implemented"
+# Time complexity: O(n)
+# Space complexity: O(n)
+def is_palindrome(string, length = 0, letter = 0, hash = {}, results = [])
+  if string == ""
+    return true
+  end
+
+  if string.length == length
+    if results.length > 1
+      return false
+    else
+      return true
+    end
+  end
+
+  hash = {}
+  results = []
+
+  if string[letter] == nil
+    hash[letter] = 0
+  else
+    hash[letter] += 1
+  end
+
+  if hash[letter] % 2 != 0
+    results << hash[letter]
+  end
+  is_palindrome(string, length + 1, letter + 1, hash, results)
 end
 
 # Time complexity: ?
 # Space complexity: ?
 def digit_match(n, m)
-    raise NotImplementedError, "Method not implemented"
-end
\ No newline at end of file
+  raise NotImplementedError, "Method not implemented"
+end
diff --git a/test/recursion_writing_test.rb b/test/recursion_writing_test.rb
index 820810e..1e1f86a 100644
--- a/test/recursion_writing_test.rb
+++ b/test/recursion_writing_test.rb
@@ -1,7 +1,7 @@
-require 'minitest/autorun'
-require 'minitest/reporters'
+require "minitest/autorun"
+require "minitest/reporters"
 require "minitest/skip_dsl"
-require_relative '../lib/recursive-methods'
+require_relative "../lib/recursive-methods"
 
 describe "factorial" do
   it "will find the factorial of 0" do
@@ -23,8 +23,7 @@
     answer = factorial(num)
 
     # Assert
-    expect(answer).must_equal 5*4*3*2*1
-
+    expect(answer).must_equal 5 * 4 * 3 * 2 * 1
   end
 
   it "will raise an ArgumentError if given a number not >= 0" do
@@ -38,7 +37,7 @@
   end
 end
 
-xdescribe "reverse" do
+describe "reverse" do
   it "will reverse 'cat'" do
     # Arrange
     string = "cat"
@@ -83,8 +82,7 @@
   end
 end
 
-
-xdescribe "reverse_in_place" do
+describe "reverse_in_place" do
   it "will reverse 'cat'" do
     # Arrange
     string = "cat"
@@ -129,7 +127,7 @@
   end
 end
 
-xdescribe "bunny" do
+describe "bunny" do
   it "returns 0 for 0 bunnies" do
     # Arrange
     count = 0
@@ -164,7 +162,7 @@
   end
 end
 
-xdescribe "nested" do
+describe "nested" do
   it "will return true for empystring" do
     # Arrange
     string = ""
@@ -224,40 +222,40 @@
   end
 
   it "will return true when looking for something in the array" do
-  # Arrange
-  item = "a"
-  array = ["b", "c", "a"]
+    # Arrange
+    item = "a"
+    array = ["b", "c", "a"]
 
-  # Act
-  answer = search(array, item)
+    # Act
+    answer = search(array, item)
 
-  # Assert
-  expect(answer).must_equal true
+    # Assert
+    expect(answer).must_equal true
   end
 
   it "will return false when looking for something not in the array" do
     # Arrange
     item = "x"
     array = ["b", "c", "a"]
-  
+
     # Act
     answer = search(array, item)
-  
+
     # Assert
     expect(answer).must_equal false
-    end
-
-    it "will return true when finding something at the front of the array" do
-      # Arrange
-      item = "b"
-      array = ["b", "c", "a"]
-    
-      # Act
-      answer = search(array, item)
-    
-      # Assert
-      expect(answer).must_equal true
-    end      
+  end
+
+  it "will return true when finding something at the front of the array" do
+    # Arrange
+    item = "b"
+    array = ["b", "c", "a"]
+
+    # Act
+    answer = search(array, item)
+
+    # Assert
+    expect(answer).must_equal true
+  end
 end
 
 xdescribe "is_palindrome" do
@@ -304,8 +302,8 @@
     # Act
     answer = digit_match(num1, num2)
 
-     # Assert
-     expect(answer).must_equal 4
+    # Assert
+    expect(answer).must_equal 4
   end
 
   it "returns 0 for nonmatching numbers" do
@@ -316,8 +314,8 @@
     # Act
     answer = digit_match(num1, num2)
 
-     # Assert
-     expect(answer).must_equal 0
+    # Assert
+    expect(answer).must_equal 0
   end
 
   it "returns 3 for 841 and 62530841" do
@@ -328,10 +326,10 @@
     # Act
     answer = digit_match(num1, num2)
 
-     # Assert
-     expect(answer).must_equal 3
+    # Assert
+    expect(answer).must_equal 3
   end
-  
+
   it "returns 1 for (0, 0)" do
     # Arrange
     num1 = 0
@@ -340,10 +338,10 @@
     # Act
     answer = digit_match(num1, num2)
 
-     # Assert
-     expect(answer).must_equal 1
+    # Assert
+    expect(answer).must_equal 1
   end
-  
+
   it "returns 1 for (10, 20)" do
     # Arrange
     num1 = 10
@@ -352,7 +350,7 @@
     # Act
     answer = digit_match(num1, num2)
 
-     # Assert
-     expect(answer).must_equal 1
+    # Assert
+    expect(answer).must_equal 1
   end
 end