Question 885552
f(x) = x^3 + 5x^2 - 7x + 1
possible zeros are -1 and 1.
use synthetic division to check
1 | 1  5  -7  1
       1   6  -1
   -----------------
    1  6  -1   0
since the remainder is zero it is a factor:
(x-1)(x^2+6x-1)
normally, you would factor the quadratic but since it can't be factored we use the "quadratic formula" to get
zeroes are at:
x = 1; x = 0.1623; and x = -6.1623
.
details of quadratic equation follows:
*[invoke quadratic "x", 1, 6, -1 ]