Question

Factorize: x³+x-3x² -3

Answer 1

`(x-3)(x^2+1)`

Explanation:

Factor by grouping

`x^3+x-3x^2-3\\=x(x^2+1)-3(x^2+1)\\=(x-3)(x^2+1)`

Answer 2

(x - 3) (x² + 1)

Explanation:

x³+x-3x² -3

x³ - 3x² + x - 3

Factor out the greatest common factor from each group.

x² (x - 3) + 1 (x - 3)

Factor the polynomial by factoring out the greatest common factor, x−3.

(x - 3) (x² + 1)

So, the answer is (x - 3) (x² + 1)