What is factor s^6+s^5-6s^4-s^2-s+6 ?

The solution to factor s^6+s^5-6s^4-s^2-s+6 is (s-2)(s+3)(s^2+1)(s+1)(s-1)

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factor s^6+s^5-6s^4-s^2-s+6

factor

s^{6} + s^{5} - 6 s^{4} - s^{2} - s + 6

(s - 2) (s + 3) (s^{2} + 1) (s + 1) (s - 1)

Solution steps

s^{6} + s^{5} - 6 s^{4} - s^{2} - s + 6

= (s^{6} + s^{5} - 6 s^{4}) + (- s^{2} - s + 6)

Factor out

s^{4}

from

s^{6} + s^{5} - 6 s^{4} : s^{4} (s^{2} + s - 6)

Factor out

- 1

from

- s^{2} - s + 6 : - (s^{2} + s - 6)

= s^{4} (s^{2} + s - 6) - (s^{2} + s - 6)

Factor out common term

(s^{2} + s - 6) : (s^{2} + s - 6) (s^{4} - 1)

= (s^{2} + s - 6) (s^{4} - 1)

Factor

s^{2} + s - 6 : (s - 2) (s + 3)

= (s - 2) (s + 3) (s^{4} - 1)

Factor

s^{4} - 1 : (s^{2} + 1) (s + 1) (s - 1)

= (s - 2) (s + 3) (s^{2} + 1) (s + 1) (s - 1)

12 x^{2} + 24 x - 4

\frac{1 + 3 a}{25}

\frac{75 x ^{5}}{12 x y ^{2}}

\frac{a + b}{b}

\frac{4 x y ^{4}}{2 x ^{6} y ^{2}}

What is factor s^6+s^5-6s^4-s^2-s+6 ?
The solution to factor s^6+s^5-6s^4-s^2-s+6 is (s-2)(s+3)(s^2+1)(s+1)(s-1)