consider any integer x. The next consecutive integer can be represented by a binomial (x+1)

Write a polynomial for the sum of any 2 consecutive integers.

Then explain how you can be sure that the sum of two consecutive integers is always odd. Use the polynomial in your explanation.

Question

consider any integer x. The next consecutive integer can be represented by a binomial (x+1)

Write a polynomial for the sum of any 2 consecutive integers.

Then explain how you can be sure that the sum of two consecutive integers is always odd. Use the polynomial in your explanation.

anonymous · Answer

$$x+x+1=2x+1$$

anonymous · Answer

it is always odd because 
$$2x$$ is always even

anonymous · Answer

whoa.. thanks! this is like ur 10th question answered for me! Kudos dude!