Correct Answer - Option 2 : 23
Concept
Remainder theorem: It states that when a polynomial P(x) is divided by (x - a), then the remainder is given by P(a), which is the value of the polynomial at x = a.
For example: When P(x) is divide by (x - 2) remainder will be the value of the polynomial at x = 2, i.e., P(2)
Calculation
Let P(x) = x22 + 22
When P(x) is divided by (x + 1) the remainder will be P(-1)
⇒ P(-1) = (-1)22 + 22 = 23
∴ The remainder of the given expression is 23