2. Determine the zeros of f(x) = x3 – 12x2 + 28x – 9.

Question

2.	Determine the zeros of f(x) = x3 – 12x2 + 28x – 9.

anonymous · Answer

Do you know synthetic division?

anonymous · Answer

By the rational root theorem, possible zeros are +-1, +-3, +-9....

anonymous · Answer

Yea. Just trying to understand it better

raden · Answer

9 is one of roots of the polynomial

anonymous · Answer

this is what i have so far.
1 l 1  -12  28  -9                          The remainder is 8
           1   -11   17                   
   1   -11     17    8
factors of q= 1, -1 
factors of p= 1, -1, 3, -3,  9, -9 
Possible rational zeros: 1, -1, 3, -3, 9, -9

anonymous · Answer

since you were given that 9 is a root, you can find the root of the resulting quadratic after dividing the polynomial by (x-9)...   hmm... seems like you only have 1 rational root.

anonymous · Answer

Thanks