Write š„Ā²+6š„+11 in the form (š„+a)Ā²+b.
This question wants you to "complete the square". To start this question we put a = (coefficient of x)/2 = 6/2 = 3.So far we have š„Ā²+6š„+11 = (š„+3)Ā²+b. We now need to find b. We can expand and simplify the right hand side to get š„Ā²+6š„+11 = š„Ā²+6š„+9+b. We should now be able to see that b=2. So š„Ā²+6š„+11 = (š„+3)Ā²+2.
BP
