Question

A remainder of 0 in the process of synthetic division tells you that you have found a root, or a factor, of the polynomial. True or false?

Answer 1

I said false

Answer 2

It's actually true.

Answer 3

Ohh. how?

Answer 4

true!

Answer 5

have you done any problems using synthetic division?

Answer 6

yes. a while back

Answer 7

f(x)=x^2-4
2| 1 0 -4
| 2 4
_______
1 2 | 0
since we have 0 in that remainder spot then x=2 is a zero which also implies x-2 is a factor since x-2=0
actually the factored form is f(x)=x^2-4=(x-2)(x+2)