Answer:
1,-1, 2, -2,5.-5, 10, -10
Step-by-step explanation:
Possible factor of a polynomial:
Using the rational zeros theorem, the results of all divisions between factors of the leading coefficient and factors of the constant term are possible factors of a polynomial.
y^3-2y^2+4y-10
Leading coefficient: 1
Constant term: -10
Factors of the leading coefficient 1: {-1,1}
Factors of the constant term -10: {-10, -5, -2, -1, 1, 2, 5, 10}
Dividing the factors of-10 by the factors of 1, all possible values will be the factors of -10. So the correct answer is:
1,-1, 2, -2,5.-5, 10, -10
