I need to test the integral bounds for the roots.
6x^3-7x^2+7x+9=0
I used synthetic division to find my answer.
1 6 -7 7 9
6 -1 6
6 -1 6 15
0 6 -7 7 9
0 0 0
6 -7 7 9
-1 6 -7 7 9
-6 13 20
6 -13 20 29
2 6 -7 7 9
12 10 34
6 5 17 43
my answer: -1<x<1
I don't understand why the answer is 2, when by my calculation 1 fits.
correct answer:
-1<x<2