What is factor x^5+5x^4+x^3-21x^2-18x ?

The solution to factor x^5+5x^4+x^3-21x^2-18x is x(x+1)(x-2)(x+3)^2

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factor x^5+5x^4+x^3-21x^2-18x

factor

x^{5} + 5 x^{4} + x^{3} - 21 x^{2} - 18 x

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

Solution steps

x^{5} + 5 x^{4} + x^{3} - 21 x^{2} - 18 x

Factor out common term

x : x (x^{4} + 5 x^{3} + x^{2} - 21 x - 18)

= x (x^{4} + 5 x^{3} + x^{2} - 21 x - 18)

Factor

x^{4} + 5 x^{3} + x^{2} - 21 x - 18 : (x + 1) (x - 2) (x + 3) (x + 3)

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

Apply exponent rule:

aa = a^{2}

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

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

∣ 4 x + 3 ∣ + 4 = 8

- 3.6 (3) + 14.4

\frac{1}{2} r = \frac{7}{2}

4 x + 3 - 2 x = 3 x - 7 x + 15

5 = (\frac{2}{3} \cdot 2) + c

What is factor x^5+5x^4+x^3-21x^2-18x ?
The solution to factor x^5+5x^4+x^3-21x^2-18x is x(x+1)(x-2)(x+3)^2