Answer:
Zeroes are -3, -1 and 5.
Explanation:
I'm assuming you want the zeroes of this expression.
f(x) = x3 – x2 – 17x – 15 = 0
f(-1) = -1 - 1 + 17 - 15 = 0
So x = -1 is one zero.
- therefore x + 1 is a factor of f(x) so we divide:
x + 1) x3 – x2 – 17x – 15 ( x2 - 2x - 15 <-------- Quotient
x3 + x2
-2x2 - 17x
-2x2 - 2x
-15x - 15
-15x - 15
x2 - 2x - 15 = 0
--->(x + 3)(x - 5) = 0
---> x = -3, 5