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Factor polynomial x^7-3*x^6+8*x^2

An expression to simplify:

The solution

You have entered [src]
 7      6      2
x  - 3*x  + 8*x 
$$8 x^{2} + \left(x^{7} - 3 x^{6}\right)$$
x^7 - 3*x^6 + 8*x^2
General simplification [src]
 2 /     5      4\
x *\8 + x  - 3*x /
$$x^{2} \left(x^{5} - 3 x^{4} + 8\right)$$
x^2*(8 + x^5 - 3*x^4)
Factorization [src]
    /           / 5      4       \\ /           / 5      4       \\ /           / 5      4       \\ /           / 5      4       \\ /           / 5      4       \\
x*x*\x - CRootOf\x  - 3*x  + 8, 0//*\x - CRootOf\x  - 3*x  + 8, 1//*\x - CRootOf\x  - 3*x  + 8, 2//*\x - CRootOf\x  - 3*x  + 8, 3//*\x - CRootOf\x  - 3*x  + 8, 4//
$$x x \left(x - \operatorname{CRootOf} {\left(x^{5} - 3 x^{4} + 8, 0\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{5} - 3 x^{4} + 8, 1\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{5} - 3 x^{4} + 8, 2\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{5} - 3 x^{4} + 8, 3\right)}\right) \left(x - \operatorname{CRootOf} {\left(x^{5} - 3 x^{4} + 8, 4\right)}\right)$$
(((((x*x)*(x - CRootOf(x^5 - 3*x^4 + 8, 0)))*(x - CRootOf(x^5 - 3*x^4 + 8, 1)))*(x - CRootOf(x^5 - 3*x^4 + 8, 2)))*(x - CRootOf(x^5 - 3*x^4 + 8, 3)))*(x - CRootOf(x^5 - 3*x^4 + 8, 4))
Numerical answer [src]
x^7 + 8.0*x^2 - 3.0*x^6
x^7 + 8.0*x^2 - 3.0*x^6
Assemble expression [src]
 7      6      2
x  - 3*x  + 8*x 
$$x^{7} - 3 x^{6} + 8 x^{2}$$
x^7 - 3*x^6 + 8*x^2
Powers [src]
 7      6      2
x  - 3*x  + 8*x 
$$x^{7} - 3 x^{6} + 8 x^{2}$$
x^7 - 3*x^6 + 8*x^2
Combining rational expressions [src]
 2 /     4         \
x *\8 + x *(-3 + x)/
$$x^{2} \left(x^{4} \left(x - 3\right) + 8\right)$$
x^2*(8 + x^4*(-3 + x))
Common denominator [src]
 7      6      2
x  - 3*x  + 8*x 
$$x^{7} - 3 x^{6} + 8 x^{2}$$
x^7 - 3*x^6 + 8*x^2
Rational denominator [src]
 7      6      2
x  - 3*x  + 8*x 
$$x^{7} - 3 x^{6} + 8 x^{2}$$
x^7 - 3*x^6 + 8*x^2
Trigonometric part [src]
 7      6      2
x  - 3*x  + 8*x 
$$x^{7} - 3 x^{6} + 8 x^{2}$$
x^7 - 3*x^6 + 8*x^2
Combinatorics [src]
 2 /     5      4\
x *\8 + x  - 3*x /
$$x^{2} \left(x^{5} - 3 x^{4} + 8\right)$$
x^2*(8 + x^5 - 3*x^4)