Express x^2 +12+11 in the form (x+p)^2 +q

Assuming you meant x² + 12x + 11, then it would be expressed as:

(x + 6)² - 25

Step-by-step explanation:

The way you wrote the expression, the second term is not multiplied by x, and you wouldn't get the answer expected.  It would just be x² + 33.  Presumably that was in error and the 12 is in fact just a coefficient of x, so let's work from there.

x² + 12x + 11

= x² + 12x + 36 - 25

= (x + 6)² - 25

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