Question 589748
f(x) into linear factors
f(x) = x^3 + 2x^2 + 49x + 98 
x^3 + 2x^2 + 49x + 98 = 0
:
We can group factor here
x^2(x+2) + 49(x+2) = 0
:
Factor out (x+2)
(x+2)(x^2+49) = 0
x = -2; the rational 0
and
x^2 + 49 = 0
x^2 = -49
x = +/-{{{sqrt(-49)}}}
factor out the square root of -1
x = +/-{{{i*sqrt(49)}}}
x = + 7i
x = - 7i