We can use synthetic division for the first
- 2 [ -2 - 5 4 2 ]
4 2 -12
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-2 -1 6 -10
The remainder is -10 so the third answer is correct
x^3 - 4x^2 + x + 26 = 0
-2 is one root
Use synthetic division to find the remaining polynomial
-2 [ 1 - 4 1 26 ]
- 2 12 -26
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1 -6 13 0
The remaining polynomial is x^2 - 6x + 13
Complete the square on x and we have
x^2 - 6x + 9 = -13 + 9
(x - 3)^2 = -4 take both roots
x - 3 = ±2i
x = 3 ± 2i are the other two roots ...... first answer