Question

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

Answer 1

It is easier than it sounds, once you rearrange equation in proper order. Then you just divide the m+1 (is that the divisor) into the dividend and add a number at the end so the quotient comes out to be zero.

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Yes how I love wikipedia

a ÷ b =c, a/b=c

in the above expressions, a is called the dividend, b is called the divisor, and c is called the quotient
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\[(m+1) | -2m ^{3}+m ^{2} -m+1\]