[utest][core] Typo fixes.

TEST: No behavior change
Change-Id: I7543bfc793b7fa58450ef41d307fef6ac461f75c
diff --git a/system/utest/core/handle-close/handle-close.c b/system/utest/core/handle-close/handle-close.c
index 2e1b3dd..4f0523e 100644
--- a/system/utest/core/handle-close/handle-close.c
+++ b/system/utest/core/handle-close/handle-close.c
@@ -22,7 +22,7 @@
 
     ASSERT_EQ(zx_handle_close_many(&eventpairs[0u], kNumEventpairs), ZX_OK, "");
 
-    // Assert that every handle in the preceeding close call was in
+    // Assert that every handle in the preceding close call was in
     // fact closed, by waiting on the PEER_CLOSED signal.
     for (size_t idx = kNumEventpairs; idx < 8u; ++idx) {
         zx_signals_t signals;
@@ -51,7 +51,7 @@
 
     ASSERT_EQ(zx_handle_close_many(&eventpairs[0u], kNumEventpairs + kGap), ZX_OK, "");
 
-    // Assert that every handle in the preceeding close call was in
+    // Assert that every handle in the preceding close call was in
     // fact closed, by waiting on the PEER_CLOSED signal.
     for (size_t idx = kNumEventpairs + kGap; idx < 10u; ++idx) {
         zx_signals_t signals;
@@ -83,7 +83,7 @@
     // can't be closed twice. Despite this, all handles were closed.
     ASSERT_EQ(zx_handle_close_many(&eventpairs[0u], kNumEventpairs + kGap), ZX_ERR_BAD_HANDLE, "");
 
-    // Assert that every handle in the preceeding close call was in
+    // Assert that every handle in the preceding close call was in
     // fact closed, by waiting on the PEER_CLOSED signal.
     for (size_t idx = kNumEventpairs + kGap; idx < 10u; ++idx) {
         zx_signals_t signals;
diff --git a/system/utest/core/process/process.cpp b/system/utest/core/process/process.cpp
index a7ec646..6dd4933 100644
--- a/system/utest/core/process/process.cpp
+++ b/system/utest/core/process/process.cpp
@@ -62,7 +62,7 @@
     ASSERT_EQ(zx_thread_create(process, "test", 4u, 0, &other_thread), ZX_OK);
 
     // Test that calling process_start() again for an existing process fails in a
-    // reasonable way. Also test that the transfered object is closed.
+    // reasonable way. Also test that the transferred object is closed.
     EXPECT_EQ(zx_process_start(process, other_thread, 0, 0, event2, 0), ZX_ERR_BAD_STATE);
     EXPECT_EQ(zx_object_signal(event2, 0u, ZX_EVENT_SIGNALED), ZX_ERR_BAD_HANDLE);