Question

How do I figure out which of these options is a root of this function?

Answer 1

\[f(x)=x ^{3}-4x ^{2}-11x+30\]

Answer 2

Options are 1, 0, -3, and 6. I'm not asking for an answer I'm just asking how to do it.

Answer 3

a root will make the expression =0

for example
f(x) = x-1
x=1 is a root because we get f(1)=0

so try each of the x values in your equation and see if you get 0

Answer 4

if you know synthetic division, you could use that and see if you get a 0 remainder. that would mean you found a root.

Answer 5

Ohh okay, I'm gonna do that right now, might take me a minute

Answer 6

-3 gives a remainder of 0, so it is a root, right?