Question

What is the root of the polynomial shown below?
f(x)=x^3-x^2-9x+9

Answer 1

is it multiple choice ?

Answer 2

Yes the answer choices are
9
-3
2
9

Answer 3

\(\large\color{black}{ \displaystyle f(x)=x^3-x^2-9x+9 }\)

the first step is to factor the first two terms out of x², and to factor the last 2 terms out of -9.

\(\large\color{black}{ \displaystyle f(x)=x^2(x-1)-9(x-1) }\)

Answer 4

then, you know that (say I had): \(x(B)−s(B)\)
then i would get \((x−s)(B)\)
---------------------------------------

same principal is here (but your B is 'x-1')
your x is x², and your s is 9

Answer 5

So my root would be 9 correct ?