What is factor x^4-14x^3+71x^2-154x+120 ?

The solution to factor x^4-14x^3+71x^2-154x+120 is (x-2)(x-3)(x-4)(x-5)

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factor x^4-14x^3+71x^2-154x+120

factor

x^{4} - 14 x^{3} + 71 x^{2} - 154 x + 120

(x - 2) (x - 3) (x - 4) (x - 5)

Solution steps

x^{4} - 14 x^{3} + 71 x^{2} - 154 x + 120

Use the rational root theorem

= (x - 2) \frac{x ^{4} - 14 x ^{3} + 71 x ^{2} - 154 x + 120}{x - 2}

\frac{x ^{4} - 14 x ^{3} + 71 x ^{2} - 154 x + 120}{x - 2} = x^{3} - 12 x^{2} + 47 x - 60

= (x - 2) (x^{3} - 12 x^{2} + 47 x - 60)

Factor

x^{3} - 12 x^{2} + 47 x - 60 : (x - 3) (x - 4) (x - 5)

= (x - 2) (x - 3) (x - 4) (x - 5)

409 6^{\frac{1}{4}}

- 108 - - 3

a b

2 - 5 (x + 5) = 3 (x - 2) - 1

5 x^{2} = x - 2

What is factor x^4-14x^3+71x^2-154x+120 ?
The solution to factor x^4-14x^3+71x^2-154x+120 is (x-2)(x-3)(x-4)(x-5)