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Factor polynomial x^3-8*x^2-23*x+210

An expression to simplify:

The solution

You have entered [src]
 3      2             
x  - 8*x  - 23*x + 210
$$\left(- 23 x + \left(x^{3} - 8 x^{2}\right)\right) + 210$$
x^3 - 8*x^2 - 23*x + 210
Factorization [src]
(x + 5)*(x - 6)*(x - 7)
$$\left(x - 6\right) \left(x + 5\right) \left(x - 7\right)$$
((x + 5)*(x - 6))*(x - 7)
General simplification [src]
       3             2
210 + x  - 23*x - 8*x 
$$x^{3} - 8 x^{2} - 23 x + 210$$
210 + x^3 - 23*x - 8*x^2
Common denominator [src]
       3             2
210 + x  - 23*x - 8*x 
$$x^{3} - 8 x^{2} - 23 x + 210$$
210 + x^3 - 23*x - 8*x^2
Combinatorics [src]
(-7 + x)*(-6 + x)*(5 + x)
$$\left(x - 7\right) \left(x - 6\right) \left(x + 5\right)$$
(-7 + x)*(-6 + x)*(5 + x)
Numerical answer [src]
210.0 + x^3 - 8.0*x^2 - 23.0*x
210.0 + x^3 - 8.0*x^2 - 23.0*x
Trigonometric part [src]
       3             2
210 + x  - 23*x - 8*x 
$$x^{3} - 8 x^{2} - 23 x + 210$$
210 + x^3 - 23*x - 8*x^2
Combining rational expressions [src]
210 + x*(-23 + x*(-8 + x))
$$x \left(x \left(x - 8\right) - 23\right) + 210$$
210 + x*(-23 + x*(-8 + x))
Rational denominator [src]
       3             2
210 + x  - 23*x - 8*x 
$$x^{3} - 8 x^{2} - 23 x + 210$$
210 + x^3 - 23*x - 8*x^2
Powers [src]
       3             2
210 + x  - 23*x - 8*x 
$$x^{3} - 8 x^{2} - 23 x + 210$$
210 + x^3 - 23*x - 8*x^2
Assemble expression [src]
       3             2
210 + x  - 23*x - 8*x 
$$x^{3} - 8 x^{2} - 23 x + 210$$
210 + x^3 - 23*x - 8*x^2