Show that x^2 +6x+ 11 can be written as (x+p)^2 +q

x2 +6x +11this is a quadratic so we try to factorise it. x2 +6x can be turned into (x+3)2 -9 and we plus the 11 from the beginning so the final answer should look like (x+3)2 +2 and thus p=3 and q=2.

AM

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