Answer:
d = 4
Step-by-step explanation:
If (x -2) is a factor of polynomial p(x), then the remainder will be zero.
⇒ p(2) = 0
[tex]\sf \bf 2^4-d*2^3 + 8*2^2 -10*2 + 4 = 0\\\\[/tex]
16 - 8d + 8*4 - 20 + 4 = 0
16 - 8d + 32 - 20 + 4 = 0
-8d + 32 = 0
-8d = - 32
d = -32/(-8)
[tex]\boxed{d = 4}[/tex]
