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

-5

Step-by-step explanation:

Let's find the answer by dividing by  , like this:

and:

then:

and:

then:

and:

notice that the remainder is 5 so we need to subtract the remainder.

Based on the previous procedure we can define:

In conclusion the smallest integer that can be added to the polynomial is -5, so the polynomial will be .

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3,6 and 7.

step-by-step explanation:

a) unit place of 37 is 7

so the unit place of cube of 37 will be

7³= 343=3

the answer is 3.

b) unit place of 56 is 6, so the unit place of cube of 56 will be

6³= 216=6

the answer is 6.

c) unit place of 133 is 3, so the unit place of cube of 133 will be

3³= 27= 7.

the answer is 7.