Question

Factorise: 3x^3-5x^2-11x-3.

Answer 1

$3 {x}^{3} - 5 {x}^{2} - 11x - 3 \\3 {x}^{3} - {9x}^{2} + 4 {x}^{2} - 12x + x - 3 \\ 3 {x}^{2} (x - 3) + 4x(x - 3) + 1(x - 3) \\ (x - 3)(3 {x}^{2} + 4x + 1) \\ (x - 3)(3 {x}^{2} + 3x + x + 1) \\ (x - 3)(3x(x + 1) + 1(x + 1) \\ (x - 3)(x + 1)(3x + 1)$
hope this helps u

Answer 2

\begin{gathered}3 {x}^{3} - 5 {x}^{2} - 11x - 3 \\3 {x}^{3} - {9x}^{2} + 4 {x}^{2} - 12x + x - 3 \\ 3 {x}^{2} (x - 3) + 4x(x - 3) + 1(x - 3) \\ (x - 3)(3 {x}^{2} + 4x + 1) \\ (x - 3)(3 {x}^{2} + 3x + x + 1) \\ (x - 3)(3x(x + 1) + 1(x + 1) \\ (x - 3)(x + 1)(3x + 1)\end{gathered}

3x

3

−5x

2

−11x−3

3x

3

−9x

2

+4x

2

−12x+x−3

3x

2

(x−3)+4x(x−3)+1(x−3)

(x−3)(3x

2

+4x+1)

(x−3)(3x

2

+3x+x+1)

(x−3)(3x(x+1)+1(x+1)

(x−3)(x+1)(3x+1)