What is factor x^6-25x^3-54 ?

The solution to factor x^6-25x^3-54 is (x-3)(x^2+3x+9)(x^3+2)

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factor x^6-25x^3-54

factor

x^{6} - 25 x^{3} - 54

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

Solution steps

x^{6} - 25 x^{3} - 54

Use the rational root theorem

= (x - 3) \frac{x ^{6} - 25 x ^{3} - 54}{x - 3}

\frac{x ^{6} - 25 x ^{3} - 54}{x - 3} = x^{5} + 3 x^{4} + 9 x^{3} + 2 x^{2} + 6 x + 18

= (x - 3) (x^{5} + 3 x^{4} + 9 x^{3} + 2 x^{2} + 6 x + 18)

Factor

x^{5} + 3 x^{4} + 9 x^{3} + 2 x^{2} + 6 x + 18 : (x^{2} + 3 x + 9) (x^{3} + 2)

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

\frac{0.9 9 ^{4} - 1}{0.9 9 ^{6} - 1}

4 x^{2} - 3 x + 7 x^{2} - 11 + 5 x

(2 x + 1) (3 x + 4)

x e^{- 2} + e x^{- 2}

\frac{15 b}{25 b ^{2}}

What is factor x^6-25x^3-54 ?
The solution to factor x^6-25x^3-54 is (x-3)(x^2+3x+9)(x^3+2)