Question

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

Answer 1

Do you know synthetic division?

Answer 2

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

Answer 3

Yea. Just trying to understand it better

Answer 4

9 is one of roots of the polynomial

Answer 5

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

Answer 6

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.

Answer 7

Thanks