Correct Answer - Option 3 : -7
Concept:
No remainder means the number is completely divisible by the divisor.
Calculation:
∵ x + 3 completely divides the expression
∴ 1 + x + x2 + 3x3 + x4 + α = 0
When x = (-3)
⇒ 1 + (-3) + (-3)2 + 3(-3)3 + (-3)4 + α = 0
⇒ 1 – 3 + 9 – 81 + 81 + α = 0
⇒ 7 + α = 0
⇒ α = (-7)