Exercise
Which polynomial has zero
5 - 2 - 1?
X4 - 8 X2 - 4
X4 + 4X3 - 8X2 - 24 X - 4
X4 + 4X3 - 8X2 - 24X
No. The expression is of the form f(X2)
Correct!
No.
After division by X, a polynomial of degree 3 results,
whereas
Q(5 - 2 - 1) =
Q + Q5 + Q2 +
Q10,
and so 5 - 2 - 1
will be zero of a polynomial of degree 4.
5 - 2 - 1) =
Q + Q5 + Q2 +
Q10,
and so 5 - 2 - 1
will be zero of a polynomial of degree 4.