Question

fctorise:- x³+x²+x+1​

Answer 1

Answer:

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Step-by-step explanation:

x3−x2−x+1

To factor this, we have to do it by grouping terms:

(x3-x2)+(−x+1)

To factor x3−x2 , we have to see the greatest factor that both expressions have in common. In this case, that is x2

. So the factored form would be:

x2(x−1)

For the second part, we want −x

to be positive, so we can factor out a −1 :−1(x−1)

Now combine them:

x2(x−1)−1(x−1)

This becomes:

(x2−1)(x−1)

If you want, you can still factor this further since

(x2−1) can split out to be (x−1)(x+1)

. So the factored form is:

(x−1)(x+1)(x−1)

Hope this helps!