Question

Factorize: x¹ + x² + 1​

Answer 1

Answer:

x

2

−1 is of the form a

2

−b

2

∴x

2

−1=(x−1)(x+1) where a

2

−b

2

=(a−b)(a+b)

Hence factors of x

2

−1 is (x−1)(x+1)

If (x−1) is one factor of x

2

−1 then the other factor is (x+1)