JEE Advanced 2020 Concept Recapitulation Test 4 Paper 1

P(x)=(x−(1−i))(x−(1+i))(x−(2−2i))(x−(2+2i))(x2−cx+4)
Since the first four roots are all distinct, the term (x2−cx+4) must be a product of any combination of two (not necessarily distinct) factors from the set (x−(1−i)),(x−(1+i))
(x−(2−2i))(x−(2+2i)). The only combinations are
(x−(1−i))‌&‌(x−(2+2i)) or (x−(1+i))‌&‌(x−(2−2i))
∴c=3±i
|c|=√10