Writing Complete each polynomial division. Write a brief description of the pattern that you obtain, and use your result to find a formula for the polynomial division frac{x^{n}-1}{x-1}. Greate a numerical example to test your formula. frac{x^{3}-1}{x-1}

alesterp 2020-12-28 Answered
Writing Complete each polynomial division. Write a brief description of the pattern that you obtain, and use your result to find a formula for the polynomial division xn1x1.
Greate a numerical example to test your formula.
x31x1
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Expert Answer

Lacey-May Snyder
Answered 2020-12-29 Author has 88 answers
x31x1
Here, x31 is the dividend and x - 1 is the divisor.
1 1 0 0 -1
1 1 1
1 1 1 0
So, the quotient is (x2+x+1) and the remainder is 0.
Thus, x31x1=x2+x+1(x1).
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