If we express 3x^2 - 8x - 2 in the form a(x - h)^2 + k, then what is a + h + k?
+128631 3x^2 - 8x - 2 factor out the 3
3 [ x^2 -(8/3)x - 2/3 ]
Take (1/2) of (8/3) = 8/6 = 4/3.....square this = 16/9....add and subtract it witih 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 - 18/27 - 48/27 ]
3 [ ( (x - 4/3)^3 - 66/27 ] distribute the 3
3(x - 4/3)^2 - 66/9
a + h + k = 3 + 4/3 - 66/9 = 27/9 + 12/9 - 66/9 = - 27/ 9 = -3
