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

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify