What is ((7x^4+54x^3-71x^2+77x-117))/((x+9)) ?

The solution to ((7x^4+54x^3-71x^2+77x-117))/((x+9)) is 7x^3-9x^2+10x-13

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simplify ((7x^4+54x^3-71x^2+77x-117))/((x+9))

simplify

\frac{( 7 x ^{4} + 54 x ^{3} - 71 x ^{2} + 77 x - 117 )}{( x + 9 )}

7 x^{3} - 9 x^{2} + 10 x - 13

Solution steps

\frac{7 x ^{4} + 54 x ^{3} - 71 x ^{2} + 77 x - 117}{x + 9}

Factor

7 x^{4} + 54 x^{3} - 71 x^{2} + 77 x - 117 : (x + 9) (7 x^{3} - 9 x^{2} + 10 x - 13)

= \frac{( x + 9 ) ( 7 x ^{3} - 9 x ^{2} + 10 x - 13 )}{x + 9}

Cancel the common factor:

x + 9

= 7 x^{3} - 9 x^{2} + 10 x - 13

\frac{\frac{3 x - 3}{28}}{\frac{x - 1}{7}}

(x - a)^{2} - b^{2}

\frac{sin ( θ )}{1 + sin ( θ )} - \frac{sin ( θ )}{1 - sin ( θ )}

8 a - 4 b + 16 c + 12 d

((- \frac{1}{2}) y^{4})^{3} \cdot (- 16 y^{2})

What is ((7x^4+54x^3-71x^2+77x-117))/((x+9)) ?
The solution to ((7x^4+54x^3-71x^2+77x-117))/((x+9)) is 7x^3-9x^2+10x-13