Question

Find the roots of the polynomial equation x^3-x^2+x+39

Answer 1

A 1+3i,1-3i,-3
B 1+3i, 1-3i,3
C -2+3i, -2-3i, -3
D 2+3i,2-3i,-3

Answer 2

well use the factor theorem to start


f(-3) = 0

so x = -3 is a zero,

then some polynomial division

since x = -3 is a zero, then x + 3 is a factor so



so then

f(x) = (x +3)(x^2 -4x + 13)

you just need the general quadratic formula to solve the quadratic..

hope it helps