What is ((x^3-x^2-17x-15))/((x-5)) ?

The solution to ((x^3-x^2-17x-15))/((x-5)) is (x+1)(x+3)

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simplify ((x^3-x^2-17x-15))/((x-5))

simplify

\frac{( x ^{3} - x ^{2} - 17 x - 15 )}{( x - 5 )}

(x + 1) (x + 3)

Solution steps

\frac{x ^{3} - x ^{2} - 17 x - 15}{x - 5}

Use the rational root theorem

= \frac{( x + 1 ) \frac{x ^{3} - x ^{2} - 17 x - 15}{x + 1}}{x - 5}

\frac{x ^{3} - x ^{2} - 17 x - 15}{x + 1} = x^{2} - 2 x - 15

= \frac{( x + 1 ) ( x ^{2} - 2 x - 15 )}{x - 5}

Factor

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

= \frac{( x + 1 ) ( x + 3 ) ( x - 5 )}{x - 5}

Cancel the common factor:

x - 5

= (x + 1) (x + 3)

\frac{1}{2} \cdot 8 \cdot 15

64800

cos^{4} (θ) - sin^{4} (θ)

cot^{2} (x) - 1

\frac{1}{x ^{2} - 4}

What is ((x^3-x^2-17x-15))/((x-5)) ?
The solution to ((x^3-x^2-17x-15))/((x-5)) is (x+1)(x+3)