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Help asappppp How do you divide the polynomials(x^4+1)/(x+1)

User Ruslan
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(x^4+1)/(x+1)

We can divide polynomials by synthetic division, it only works when you are dividing by a polynomial of degree 1, like in this case (x+1). We are only concerned with the coefficients in the polynomials.

As a first step write the coefficients in an upside down division sign.

Then, put the opposite of the number from the divisor to the left of the division symbol. In this case, we will use -1.

-Now Take the leading coefficient and bring it down below the division symbol, then you multiply this number by the number on the left of the division symbol and place it in the next column. Add the two numbers and place the new number below the division sign, and repeat this procedure.

The numbers below your division signs represent your coefficient, and the last number the remainder.

So in this case, the answer is:


x^3-x^2+x-1

with a remainder of 2.

Help asappppp How do you divide the polynomials(x^4+1)/(x+1)-example-1
User Foibs
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