What is factor (x-1)*(x-2)*(x+2)*(x+3)-60 ?

The solution to factor (x-1)*(x-2)*(x+2)*(x+3)-60 is (x-3)(x+4)(x^2+x+4)

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factor (x-1)(x-2)(x+2)*(x+3)-60

factor

(x - 1) \cdot (x - 2) \cdot (x + 2) \cdot (x + 3) - 60

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

Solution steps

(x - 1) (x - 2) (x + 2) (x + 3) - 60

Expand

(x - 1) (x - 2) (x + 2) (x + 3) - 60 : x^{4} + 2 x^{3} - 7 x^{2} - 8 x - 48

= x^{4} + 2 x^{3} - 7 x^{2} - 8 x - 48

Factor

x^{4} + 2 x^{3} - 7 x^{2} - 8 x - 48 : (x - 3) (x + 4) (x^{2} + x + 4)

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

\frac{x}{3} = - 48

12 k t - 48 k + 9 t - 36

- 8 k^{2} - 12 k + 108 > 0

\frac{5 x + 9}{3} + \frac{x}{2} = 10

\frac{\frac{1}{8} + \frac{1}{4}}{\frac{1}{8} + \frac{1}{3}}

What is factor (x-1)*(x-2)*(x+2)*(x+3)-60 ?
The solution to factor (x-1)*(x-2)*(x+2)*(x+3)-60 is (x-3)(x+4)(x^2+x+4)