Posted by Sam on Friday, April 20, 2012 at 3:08pm.
Express 3x squared + 2x + 1 in the form a(x+p)squared + q where a,p and q are real numbers

Mathematics  Damon, Friday, April 20, 2012 at 3:16pm
3 x^2 + 2 x + 1
3 [x^2 + 2/3 x + 1/3]
3 [ x^2 + 2/3 x + 4/36 + 1/3  4/36 ]
3 [ (x+2/6)^2 + 3/9  1/9 ]
3 [ (x+1/3)^2 + 2/9 ]
3 (x+1/3)^2 + 2/3 
Mathematics  Damon, Friday, April 20, 2012 at 3:17pm
I used "completing the square" which you will find in your text under solving quadratic equations.