What is factor x^4-x^3-13x^2+25x-12 ?

The solution to factor x^4-x^3-13x^2+25x-12 is (x-1)^2(x-3)(x+4)

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factor x^4-x^3-13x^2+25x-12

factor

x^{4} - x^{3} - 13 x^{2} + 25 x - 12

(x - 1)^{2} (x - 3) (x + 4)

Solution steps

x^{4} - x^{3} - 13 x^{2} + 25 x - 12

Use the rational root theorem

= (x - 1) \frac{x ^{4} - x ^{3} - 13 x ^{2} + 25 x - 12}{x - 1}

\frac{x ^{4} - x ^{3} - 13 x ^{2} + 25 x - 12}{x - 1} = x^{3} - 13 x + 12

= (x - 1) (x^{3} - 13 x + 12)

Factor

x^{3} - 13 x + 12 : (x - 1) (x - 3) (x + 4)

= (x - 1) (x - 1) (x - 3) (x + 4)

Apply exponent rule:

aa = a^{2}

(x - 1) (x - 1) = (x - 1)^{2}

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

\frac{x + 6}{x - 1} > 0

x^{4} + x^{2} - 72

3 - 49

\frac{5 !}{5 ! ( 5 - 5 ) !}

\frac{( e ^{2 x} )}{e ^{x}}

What is factor x^4-x^3-13x^2+25x-12 ?
The solution to factor x^4-x^3-13x^2+25x-12 is (x-1)^2(x-3)(x+4)