Question

Find the roots of the polynomial equation

Answer 1

\[x ^{3}-4x ^{2}+x+26\]

Answer 2

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 3

the roots, so you need to set it equal zero first.
\[x^3-4x^2+x+26=0\]
the possible roots are going to be positive and negative factors of 26.
\[1,~-1,~~~2,~-2,~~~13,~-13,~~~~26,~~-26.\]
which of these numbers work?

Answer 4

Step 1: use synthetic division and test 2 and -2 (the choices in the answer only offer those two)

then use the quadratic formula to find the remaining 2 roots of the quadratic you get from step 1.

Answer 5

Yeah I don't get it....

Answer 6

Factors that work are -1, 26; 1 -26; 2 -13; -13 2