Question

With Polynomial Synthetic Division, How can I tell that a polynomial might have a double root? How could I tell if it might have imaginary root(s)?

Answer 1

If you get the same factor over.

Answer 2

You can tell it has complex roots when you get an irreducible quadratic factor with a negative discriminant.

Answer 3

@Mertsj Same Factor over and over?

Answer 4

f(x)=(x-1)(x-1)(x+5)

Answer 5

I meant in the table... how could you tell that there is a potential double root?

Answer 6

That would have the double root of 1 because x-1 is a factor and then x-1 is a factor over again.

Answer 7

In what table? A table of x and y values?