Assuming this expression equals zero, it factorises as (x + 4)(x + 13) making x either -4 or -13.
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(x + 4)(x + 13)
(x+13)(x+4)
x3 + x2 - 17x + 15 = (x - 1)(x - 3)(x + 5). Thus, the zeros are 1, 3, and -5. All three zeros are rational.
It is x+9, provided that x is not -8.
Given that 52 - x2 + x = 10, then -52 + x2 - x + 10 = x2 - x - 42 = (x - 7)(x + 6) = 0. Therefore, x = 7 or -6.