What is factor x^5-9x^3-8x^2+72 ?

The solution to factor x^5-9x^3-8x^2+72 is (x+3)(x-3)(x-2)(x^2+2x+4)

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factor x^5-9x^3-8x^2+72

factor

x^{5} - 9 x^{3} - 8 x^{2} + 72

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

Solution steps

x^{5} - 9 x^{3} - 8 x^{2} + 72

= (x^{5} - 9 x^{3}) + (- 8 x^{2} + 72)

Factor out

x^{3}

from

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

Factor out

- 8

from

- 8 x^{2} + 72 : - 8 (x^{2} - 9)

= x^{3} (x^{2} - 9) - 8 (x^{2} - 9)

Factor out common term

x^{2} - 9

= (x^{2} - 9) (x^{3} - 8)

Factor

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

= (x + 3) (x - 3) (x^{3} - 8)

Factor

x^{3} - 8 : (x - 2) (x^{2} + 2 x + 2^{2})

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

2^{2} = 4

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

(2 + 2 i) (2 - 2 i)

4 + x^{2} = 0

10 x^{2} - 15 x = 0

\frac{x}{7} > - 2

2 x + 3 = 13

What is factor x^5-9x^3-8x^2+72 ?
The solution to factor x^5-9x^3-8x^2+72 is (x+3)(x-3)(x-2)(x^2+2x+4)