micolo005 micolo005

20-06-2017
Mathematics

contestada

Find the quotient when x^3+x^2-x-1 is divided by x-1

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Allysia123 Allysia123

20-06-2017

x^3 +x^2 -x-1
= x^2 (x+1) -(x+1)
= (x^2-1)(x+1)
[As a^2 -b^2 = (a-b)(a+b)]
= (x+1)(x-1)(x+1)

Now, {(x+1)(x+1)(x-1)} / (x-1)
= (x+1)(x+1)
So, when x^3 +x^2 -x -1 is divided by (x-1) , the quotient is (x+1)(x+1).

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dandrade0035 dandrade0035

19-07-2022

Answer:

yes

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