What is factor 3x^5+18x^4+27x^3-12x^2-36x ?

The solution to factor 3x^5+18x^4+27x^3-12x^2-36x is 3x(x-1)(x+2)^2(x+3)

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factor 3x^5+18x^4+27x^3-12x^2-36x

factor

3 x^{5} + 18 x^{4} + 27 x^{3} - 12 x^{2} - 36 x

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

Solution steps

3 x^{5} + 18 x^{4} + 27 x^{3} - 12 x^{2} - 36 x

Factor out common term

3 x : 3 x (x^{4} + 6 x^{3} + 9 x^{2} - 4 x - 12)

= 3 x (x^{4} + 6 x^{3} + 9 x^{2} - 4 x - 12)

Factor

x^{4} + 6 x^{3} + 9 x^{2} - 4 x - 12 : (x - 1) (x + 2) (x + 2) (x + 3)

= 3 x (x - 1) (x + 2) (x + 2) (x + 3)

Apply exponent rule:

aa = a^{2}

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

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

(5 x^{5}) (3 y^{6}) (3 x^{2})

5 x - 3 = - 13

0 = 2 x^{2} + 26 x + 72

\frac{2}{3} x - 4 = - \frac{2}{3} x + 8

\frac{6}{- 16}

What is factor 3x^5+18x^4+27x^3-12x^2-36x ?
The solution to factor 3x^5+18x^4+27x^3-12x^2-36x is 3x(x-1)(x+2)^2(x+3)