i | 1 10 27 10 26
| +i -1+10i -10+26i -26
1 10+i 26+10i 26i 0
So we have factored f(x) this way
[ ]
Since i, that is, (0+i), is a zero, so is its conjugate (0-i), or -i
So we factor further by using synthetic division to factor the
expression in brackets:
-i | 1 10+i 26+10i 26i
| -i -10i -26i
1 10 26 0
So we have factored f(x) this way
Set the last factor = 0
That does not factor so we use the quadratic formula:
So the four zeros are , , , and
Edwin