What is (x^3-4x-15)/(x-3) ?

The solution to (x^3-4x-15)/(x-3) is x^2+3x+5

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simplify (x^3-4x-15)/(x-3)

simplify

\frac{x ^{3} - 4 x - 15}{x - 3}

x^{2} + 3 x + 5

Solution steps

\frac{x ^{3} - 4 x - 15}{x - 3}

Factor

x^{3} - 4 x - 15 : (x - 3) (x^{2} + 3 x + 5)

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

Cancel the common factor:

x - 3

= x^{2} + 3 x + 5

10 \frac{1}{2}

\frac{5}{x - 1} - \frac{x}{x - 8}

(- 5 - i) (2 + 4 i)

ln (1.05)