What is factor x^5+x^3+8x^2+8 ?

The solution to factor x^5+x^3+8x^2+8 is (x^2+1)(x+2)(x^2-2x+4)

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factor x^5+x^3+8x^2+8

factor

x^{5} + x^{3} + 8 x^{2} + 8

(x^{2} + 1) (x + 2) (x^{2} - 2 x + 4)

Solution steps

x^{5} + x^{3} + 8 x^{2} + 8

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

Factor out

x^{3}

from

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

Factor out

8

from

8 x^{2} + 8 : 8 (x^{2} + 1)

= x^{3} (x^{2} + 1) + 8 (x^{2} + 1)

Factor out common term

x^{2} + 1

= (x^{2} + 1) (x^{3} + 8)

Factor

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

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

2^{2} = 4

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

4 + 3 + \frac{9}{4} + \frac{27}{16}

(3 b)^{3}

\frac{5}{7} - \frac{6}{6}

- 1 - 15

- 1 - 9 i

What is factor x^5+x^3+8x^2+8 ?
The solution to factor x^5+x^3+8x^2+8 is (x^2+1)(x+2)(x^2-2x+4)