What is factor x^5+5x^3+72 ?

The solution to factor x^5+5x^3+72 is (x+2)(x^4-2x^3+9x^2-18x+36)

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factor x^5+5x^3+72

factor

x^{5} + 5 x^{3} + 72

(x + 2) (x^{4} - 2 x^{3} + 9 x^{2} - 18 x + 36)

Solution steps

x^{5} + 5 x^{3} + 72

Use the rational root theorem

= (x + 2) \frac{x ^{5} + 5 x ^{3} + 72}{x + 2}

\frac{x ^{5} + 5 x ^{3} + 72}{x + 2} = x^{4} - 2 x^{3} + 9 x^{2} - 18 x + 36

= (x + 2) (x^{4} - 2 x^{3} + 9 x^{2} - 18 x + 36)

43 + 212

5 x^{2} - 21 x + 18

x^{4} + 4 x^{3} - 12 x^{2}

(70 x^{6})^{2}

3 \times 8

What is factor x^5+5x^3+72 ?
The solution to factor x^5+5x^3+72 is (x+2)(x^4-2x^3+9x^2-18x+36)