If we express 3x^2 - 8x - 2 in the form a(x - h)^2 + k, then what is a + h + k?
+128475 3x^2 - 8x -2 factor out the 3
3 (x^2 - (8/3)x - (2/3) )
Take (1/2) of 8/3 = 4/3...square this = 16/9....add and subtract this inside the parentheses
3 ( x^2 - (8/3)x + 16/9 - (2/3) - 16/9) factor the first three terms, simplify the rest
3 [ ( x - 4/3)^2 - 22/9 ] distribute the 3
3 ( x - 4/3)^2 - 22/3
a = 3 h = 4/3 k = -22/3
a + h + k =
3 + 4/3 - 22/3 =
3 - 18/3 =
3 - 6 =
-3
