UPSC CDS II 2025 Mathematics Paper

Question : 1 of 100

Marks: +1, -0

Let p(x) be a polynomial. When p(x) is divided by (x - 1), it leaves 2 as the remainder. When p(x) is divided by (x - 2), it leaves 1 as the remainder. What is the remainder when p(x) is divided by (x - 1)(x - 2)?