If we express 3x^2 - 6x - 2 + 8x + 14 in the form a(x - h)^2 + k , then what is a + h + k?
3x^2 - 6x - 2 + 8x + 14 =
3x^2 + 2x + 12
3 ( x^2 + (2/3)x + 4) complete the square on x inside the parentheses
3 ( x^2 + (2/3)x + 1/9 + 4 - 1/9)
3 [ ( x + 1/3)^2 + 35/9 ]
3 ( x + 1/3)^2 + 35/3
a + h + k =
3 + (1/3) + 35/3 =
45/3 =
15
