Question

If p(x) is written as a product of linear factors, which factor would

appear twice?
(1) x - 2
(2) x + 2
(3) x - 3
(4) x + 3

Answer 1

(1) x - 2

If p(x) is written as a product of linear factors and one factor appears twice, it means that the corresponding root has multiplicity 2. In this case, the factor that would appear twice is (x−2) so the correct choice is (1) x−2.