Use the remainder theorem to determine the remainder when d4 + 2d2 + 5d - 10 is divided by d + 4.

The remainder theorem states that the answer when d + 4 is substituted into the whole equation, the remainder would be the answer divided by d + 4. Therefore:

d + 4 = 0

d = - 4

Evaluating when d = - 4:

d^4 + 2 * d^2 + 5 * d - 10

= ( - 4) ^4 + 2 * ( - 4) ^2 + 5 * ( - 4) - 10

= 256 + 2 * 16 - 20 - 10

= 256 + 32 - 30

= 258

Therefore basing on the remainder theorem, the remainder would then be:

Remainder = 258 / (d + 4) - - - > Answer