Factorize x^3 + x – 3x^2 – 3

We have to factorise x3 + x – 3x2 – 3

Solution

x3 + x – 3x2 – 3

Here x is common factor in x3 + x and – 3 is common factor in – 3x2 3×2 – 3

x3 – 3x2 + x – 3

x2 (x – 3) + 1(x – 3)

Taking ( x – 3) common

(x – 3) (x2 + 1)

Therefore x3 + x – 3x2 – 3 = (x – 3) (x2 + 1)

Answer

Factors of x3 + x – 3x2 – 3 are (x – 3) (x2 + 1)

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