Question

!!PLEASE HELP!!

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

Answer 1

The correct answer would be A.

Explanation:

Identify a factor of the polynomial equation x^3-4x^2+x+26=0 by using synthetic division or the Rational Root Theorem. In this case, x = -2 is a root.

Divide the polynomial by (x + 2) using synthetic division to get a quadratic factor, x^2-6x+13.

Use the quadratic formula to find the roots of the quadratic factor. The roots are 3 + 2i and 3 - 2i.