If we express 3x^2 - 6x - 2 + 8x + 14 in the form a(x - h)^2 + k , then what is a + h + k?
3x2 - 6x - 2 + 8x + 14
3x2 - 2x + 12
3(x2 - 2/3x + ...) + 12 (factor out the 3)
3(x2 - 2/3x + 1/9) + 12 - 3(1/9) (complete the square; add it in, subtract it out)
3(x - 1/3)2 + 35/3
