What is ((x^3-5x+186))/(x^2-x-42) ?

The solution to ((x^3-5x+186))/(x^2-x-42) is (x^2-6x+31)/(x-7)

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simplify ((x^3-5x+186))/(x^2-x-42)

simplify

\frac{( x ^{3} - 5 x + 186 )}{x ^{2} - x - 42}

\frac{x ^{2} - 6 x + 31}{x - 7}

Solution steps

\frac{x ^{3} - 5 x + 186}{x ^{2} - x - 42}

Factor

x^{3} - 5 x + 186 : (x + 6) (x^{2} - 6 x + 31)

= \frac{( x + 6 ) ( x ^{2} - 6 x + 31 )}{x ^{2} - x - 42}

Factor

x^{2} - x - 42 : (x + 6) (x - 7)

= \frac{( x + 6 ) ( x ^{2} - 6 x + 31 )}{( x + 6 ) ( x - 7 )}

Cancel the common factor:

x + 6

= \frac{x ^{2} - 6 x + 31}{x - 7}

sin (x), cos (x), \frac{- π}{30}, \frac{25}{12}

y^{^{''}} + y^{^{'}} + 1.25 y = 0, y (0) = 3, y^{^{'}} (0) = 1

\int 23 sec^{- 2} (x t a) n^{3} x d x

\int \frac{x \cdot e ^{x}}{( x + 1 ) ^{2}} d x

What is ((x^3-5x+186))/(x^2-x-42) ?
The solution to ((x^3-5x+186))/(x^2-x-42) is (x^2-6x+31)/(x-7)