Question

How do you use the remainder theorem to determine the remainder when `d^ 4 + 2d ^2 + 5d – 10` is divided by d + 4?

Answer 1

The remainder theorem states the following:

Explanation:

Consider the following division: `ƒ(x) = (ax^3 + ax^2 + ax + a) ÷ (x - b)`, then the remainder will be given by evaluating `ƒ(b)`

`r = (-4)^4 + 2(-4)^2 + 5(-2) - 10`

`r = -256 + 32 - 10 - 10`

`r = -224`

The remainder is -224