Question

The smallest integer that can be added to -2m3 − m + m2 + 1 to make it completely divisible by m + 1 is .

Answer 1

(-5) is smallest integer to be added.

Explanation:

In the given expression we have to identify the smallest integer to be adeed so that it is divisible by (m+1).

If we divide the expression then we get quotient (-2m²+3m-4) and the remainder is +5.

Therefore we can say that if we subtract 5 from the given expression it will be divisible by (m+1).

So the answer is (-5) is the smallest integer to be added.