What is factor 4x^5-8x^4-24x^3+40x^2-12x ?

The solution to factor 4x^5-8x^4-24x^3+40x^2-12x is 4x(x-1)(x-3)(x^2+2x-1)

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factor 4x^5-8x^4-24x^3+40x^2-12x

factor

4 x^{5} - 8 x^{4} - 24 x^{3} + 40 x^{2} - 12 x

4 x (x - 1) (x - 3) (x^{2} + 2 x - 1)

Solution steps

4 x^{5} - 8 x^{4} - 24 x^{3} + 40 x^{2} - 12 x

Factor out common term

4 x : 4 x (x^{4} - 2 x^{3} - 6 x^{2} + 10 x - 3)

= 4 x (x^{4} - 2 x^{3} - 6 x^{2} + 10 x - 3)

Factor

x^{4} - 2 x^{3} - 6 x^{2} + 10 x - 3 : (x - 1) (x - 3) (x^{2} + 2 x - 1)

= 4 x (x - 1) (x - 3) (x^{2} + 2 x - 1)

\frac{12}{4}

4 x^{3} - 7 x^{2} - 2 x

x^{2} - 8 x + 24 = 0

\frac{3 - \frac{1}{2}}{3 + \frac{1}{2}}

\frac{5}{2} (x + \frac{1}{3}) - \frac{5}{3} = \frac{83}{12} + \frac{2}{7} x

What is factor 4x^5-8x^4-24x^3+40x^2-12x ?
The solution to factor 4x^5-8x^4-24x^3+40x^2-12x is 4x(x-1)(x-3)(x^2+2x-1)