What is factor x^6-6x^3-7 ?

The solution to factor x^6-6x^3-7 is (x+1)(x^2-x+1)(x^3-7)

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factor x^6-6x^3-7

factor

x^{6} - 6 x^{3} - 7

(x + 1) (x^{2} - x + 1) (x^{3} - 7)

Solution steps

x^{6} - 6 x^{3} - 7

Use the rational root theorem

= (x + 1) \frac{x ^{6} - 6 x ^{3} - 7}{x + 1}

\frac{x ^{6} - 6 x ^{3} - 7}{x + 1} = x^{5} - x^{4} + x^{3} - 7 x^{2} + 7 x - 7

= (x + 1) (x^{5} - x^{4} + x^{3} - 7 x^{2} + 7 x - 7)

Factor

x^{5} - x^{4} + x^{3} - 7 x^{2} + 7 x - 7 : (x^{2} - x + 1) (x^{3} - 7)

= (x + 1) (x^{2} - x + 1) (x^{3} - 7)

\frac{3}{5} \times \frac{1}{3}

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

(4 i)^{4}

\frac{x + 2}{x + 3} + \frac{x + 1}{x ^{2} + 6 x + 9}

14 \times 4

What is factor x^6-6x^3-7 ?
The solution to factor x^6-6x^3-7 is (x+1)(x^2-x+1)(x^3-7)