Try this:
static void HighlightPhrase(RichTextBox box, string phrase, Color color) {
int pos = box.SelectionStart;
string s = box.Text;
for (int ix = 0; ; ) {
int jx = s.IndexOf(phrase, ix, StringComparison.CurrentCultureIgnoreCase);
if (jx < 0) break;
box.SelectionStart = jx;
box.SelectionLength = phrase.Length;
box.SelectionColor = color;
ix = jx + 1;
}
box.SelectionStart = pos;
box.SelectionLength = 0;
}
…
private void button1_Click(object sender, EventArgs e) {
richTextBox1.Text = "Aardvarks are strange animals";
HighlightPhrase(richTextBox1, "a", Color.Red);
}