What is factor x^5+2x^4-11x^3-12x^2+36x ?

The solution to factor x^5+2x^4-11x^3-12x^2+36x is x(x-2)^2(x+3)^2

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factor x^5+2x^4-11x^3-12x^2+36x

factor

x^{5} + 2 x^{4} - 11 x^{3} - 12 x^{2} + 36 x

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

Solution steps

x^{5} + 2 x^{4} - 11 x^{3} - 12 x^{2} + 36 x

Factor out common term

x : x (x^{4} + 2 x^{3} - 11 x^{2} - 12 x + 36)

= x (x^{4} + 2 x^{3} - 11 x^{2} - 12 x + 36)

Factor

x^{4} + 2 x^{3} - 11 x^{2} - 12 x + 36 : (x - 2) (x - 2) (x + 3) (x + 3)

= x (x - 2) (x - 2) (x + 3) (x + 3)

Simplify

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

What is factor x^5+2x^4-11x^3-12x^2+36x ?
The solution to factor x^5+2x^4-11x^3-12x^2+36x is x(x-2)^2(x+3)^2