Question

Find the roots of the polynomial equation.
x^3 - 4x^2 + x + 26 = 0

A. 3 ± 2i, -2
B. -3 ± 2i, -2
C. 3 ± 2i, 2
D. -3 ± 2i, 2

Please help, I would appreciate it!

Answer 1

From the choices, clearly you expect 2 or -2 to be a root. A little synthetic division yields
(x+2)(x^2-6x+13)
So it's either A or B
Now use the quadratic formula to choose.

Answer 2

Thank you!