Answer:
#1
Factoring the function:
f(x) = x3 + 7x2 + 14x + 8
f(x) = (x + 4) (x + 1) (x + 2)
From the options, (x + 2) is the factor
#2
f(x) / g(x) = (6x3 - 19x2 + 16x - 4) / (x - 2)
This can be solved by factoring the numerator, by synthetic division or using the remainder theorem.
The result is:
6x^2 - 7x + 2 or (x - 2/3)(x - 1/2)
#3 same with #2
#4
(x3 - 5x2 + 2x + 5) / (x - 2)
Again, this can be solved by a number of methods, the result is:
x2 -3x - 4 - (3/x-2)
Step-by-step explanation:
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