Answer:
D d^3 - 4d^2 - 8d - 15 R-13
Step-by-step explanation:
This is done the same way as long division.
Red Box - The equation.
Orange Box:
How many times is d going into d^4? d^3 times
- 2 * d^3 = -2d^3
Minus that from the original equation:
(d^4 - 6d^3) - (6d^4 - 2d^3) = (d^4 - d^4) - (6d^3 - 2d^3) = - 4d^3.
Write the resultant underneath.
Yellow Box:
How many times is d going into - 4d^3.? -4d^2 times
- 2 * -4d^2 = -8d^2
Minus that from the resultant equation:
(-4d^3 + 0d^2) - (4d^3 - 8d^2) = (-4d^3 - 4d^3) - (0d^2 - 8d^2) = - 8d^2
Green Box:
How many times is d going into - 8d^2.? -8d times
- 2 * -8d = -16d
Minus that from the resultant equation:
(-8d^2 + d) - (-8d^2 -16d) = (-8d^2 - - 8d^2) - (d - 16d) = (- 8d^2 + 8d^2) - (d - 16d) = -15d
Blue Box:
How many times is d going into - 15d.? -15 times
- 2 * -15 = 30
Minus that from the resultant equation:
(-15d + 17) - (-15d - 30) = (- 15d - - 15d) - (17 - 30) = (-15d + 15d) - (17 - 30) = -13
You have a remainder of 13.