4(-2)² + 8(-2) + 3(-2) + 6 =?

4(-2)² + 8(-2) + 3(-2) + 6

= 4×4 - 8×2 - 3×2 + 6

= 16 - 16 - 6 + 6

= 0

16 - 16 - 6 + 6 = 0

4(-2)² + 8(-2) + 3(-2) + 6 =
(-2) (4(-2) + 8 + 3) + 6 =
(-2) (-8 + 8 + 3) + 6 =
(-2) (3) + 6 =
-6 + 6 =
0

-2 squared = 4
4 times 4 = 16

8 times -2 = -16

So those two cancel each other.

3 times -2 = -6
+ 6 =0

Your Answer is ZERO