The first one is 1,3,31,62 and the second answer is 1,5,8
ANSWER
The coefficient is 70.
EXPLANATION
The given binomial expression is

The specific term of a binomial expansion can be determined using the formula,

where

We substitute these values into the formula to get,

We simplify to get,

Hence the coefficient is 70.
Yes you are right it's C)
Notice that f(-2) = (-2)³ +2( - 2)² + 4(-2) + 8 =0
Then x³+2x²+4x+8 is divisible by (x+2)
Perform this division & you will get:
x³+2x²+4x+8 = (x+2)(x²+4)
The root of (x+2) is the value that render it nil, that is x=-2
The root of (x²+4) are imaginary (not real) because
x²+4 =0 ==> x² = -4 & x=√-4 or x= 2i (nor real).
Hope you understood the reasoning
The answer for your question is 4.166666667 thank you for letting me answer your question and you welcome now bye have a great day.