Question

What are the possible factors of the polynomial y^3-2y^2+4y-10?

2,5,10
0 1,-1, 2, -2,5.-5, 10, -10
O 1.2.-2,5.-5, 10

Answer 1

1,-1, 2, -2,5.-5, 10, -10

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