Answer :
When we divide x^3+1 by x+1, then the quotient is (x^2-x+1) and remainder is 0.
In the given question, we have to find the the quotient and remainder if x^3+1 is divided by x+1.
As we know that;
In division, we multiply one number by any other number to produce a second number. Therefore, the dividend here refers to the number that is being divided. The divisor is the integer that divides a given number. The quotient is the sum that we arrive at as a result.
Using the formula a^3+b^3 = (a+b)(a^2-ab+b^2)
So we can write x^3+1 as (x+1)(x^2-x+1)
So when we divide x^3+1 by x+1, then the quotient is (x^2-x+1) and remainder is 0.
To learn more about division of polynomial link is here
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The write question is:
What will be the quotient and remainder if x^3+1 is divided by x+1?