What is factor x^4+5x^3+27x+135 ?

The solution to factor x^4+5x^3+27x+135 is (x+5)(x+3)(x^2-3x+9)

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factor x^4+5x^3+27x+135

factor

x^{4} + 5 x^{3} + 27 x + 135

(x + 5) (x + 3) (x^{2} - 3 x + 9)

Solution steps

x^{4} + 5 x^{3} + 27 x + 135

= (x^{4} + 5 x^{3}) + (27 x + 135)

Factor out

x^{3}

from

x^{4} + 5 x^{3} : x^{3} (x + 5)

Factor out

27

from

27 x + 135 : 27 (x + 5)

= x^{3} (x + 5) + 27 (x + 5)

Factor out common term

x + 5

= (x + 5) (x^{3} + 27)

Factor

x^{3} + 27 : (x + 3) (x^{2} - 3 x + 3^{2})

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

3^{2} = 9

= (x + 5) (x + 3) (x^{2} - 3 x + 9)

- 16 = 4 a

∣ x + 12 ∣ \leq 4

23 - 5 y = 23 + 5 y

(16)^{2}

- 2 x > 0

What is factor x^4+5x^3+27x+135 ?
The solution to factor x^4+5x^3+27x+135 is (x+5)(x+3)(x^2-3x+9)