What is factor x^6-6x^3-16 ?

The solution to factor x^6-6x^3-16 is (x-2)(x^2+2x+4)(x^3+2)

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factor x^6-6x^3-16

factor

x^{6} - 6 x^{3} - 16

(x - 2) (x^{2} + 2 x + 4) (x^{3} + 2)

Solution steps

x^{6} - 6 x^{3} - 16

Use the rational root theorem

= (x - 2) \frac{x ^{6} - 6 x ^{3} - 16}{x - 2}

\frac{x ^{6} - 6 x ^{3} - 16}{x - 2} = x^{5} + 2 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 8

= (x - 2) (x^{5} + 2 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 8)

Factor

x^{5} + 2 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 8 : (x^{2} + 2 x + 4) (x^{3} + 2)

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

+ \frac{6 i}{9 - 9 i}

3 \times 3 x^{2}

lo g_{2} (32) + 1

x - \frac{4}{x}

4 - 12 y + 9 y^{2}

What is factor x^6-6x^3-16 ?
The solution to factor x^6-6x^3-16 is (x-2)(x^2+2x+4)(x^3+2)