What is (x^3-13x+12)/(x-1) ?

The solution to (x^3-13x+12)/(x-1) is (x-3)(x+4)

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simplify (x^3-13x+12)/(x-1)

simplify

\frac{x ^{3} - 13 x + 12}{x - 1}

(x - 3) (x + 4)

Solution steps

\frac{x ^{3} - 13 x + 12}{x - 1}

Use the rational root theorem

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

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

= \frac{( x - 1 ) ( x ^{2} + x - 12 )}{x - 1}

Factor

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

= \frac{( x - 1 ) ( x - 3 ) ( x + 4 )}{x - 1}

Cancel the common factor:

x - 1

= (x - 3) (x + 4)

\frac{1000}{7}

- x^{4} - x^{4}

625

(y^{2} + 2 x)^{4}

\frac{2}{1}