Turing's Game

y=f(x)=(x+a)(x+b)

"x" and "y" are variables.

"a" and "b" are integer constants greater than -100 and less than +100.

Here are your data points:

When x = 1, y = -549.

When x = 2, y = -600.

When x = 3, y = -649.

When x = 4, y = -696.

When x = 5, y = -741.

When x = 6, y = -784.

When x = 7, y = -825.

When x = 8, y = -864.

When x = 9, y = -901.

When x = 10, y = -936.

When x = 11, y = -969.

When x = 12, y = -1000.

When x = 13, y = -1029.

When x = 14, y = -1056.

When x = 15, y = -1081.

When x = 16, y = -1104.

When x = 17, y = -1125.

When x = 18, y = -1144.

When x = 19, y = -1161.

When x = 20, y = -1176.

When x = 21, y = -1189.

When x = 22, y = -1200.

When x = 23, y = -1209.

When x = 24, y = -1216.

When x = 25, y = -1221.

Find "a" and "b".