Question

Find the roots of the polynomial equation x^3-4x^2+x+26
A. 3+2i, 3-2i, -2
B. 3+2i, 3-2i, 2
C.-3+2i, -3-2i, 2
D. -3+2i, -3-2i, -2

Answer 1

\(\large\color{#000000 }{ \displaystyle x^3-4x^2+x+26 }\)
\(\large\color{#000000 }{ \displaystyle x^3-6x^2+2x^2+13x-12x+26 }\)
\(\large\color{#000000 }{ \displaystyle x^3-6x^2+13x+2x^2-12x+26 }\)
\(\large\color{#000000 }{ \displaystyle x(x^2-6x+13)+2(x^2-6x+13) }\)

Answer 2

can you go from there?