165k views
3 votes
Express x^2 +12+11 in the form (x+p)^2 +q

1 Answer

10 votes

Answer:

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

(x + 6)² - 25

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

User Ilya Sterin
by
3.5k points