What is (2x^3-11x^2+25)/(x-5) ?

The solution to (2x^3-11x^2+25)/(x-5) is 2x^2-x-5

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simplify (2x^3-11x^2+25)/(x-5)

simplify

\frac{2 x ^{3} - 11 x ^{2} + 25}{x - 5}

2 x^{2} - x - 5

Solution steps

\frac{2 x ^{3} - 11 x ^{2} + 25}{x - 5}

Factor

2 x^{3} - 11 x^{2} + 25 : (x - 5) (2 x^{2} - x - 5)

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

Cancel the common factor:

x - 5

= 2 x^{2} - x - 5

- x^{3} - x^{2} + x + 1

(10 x^{3} - 8 x + 9 x^{2}) + (3 x^{2} - 5 x^{3} + 2 x)

\frac{\frac{1}{x}}{1}

lo g_{3} (2187)

(3 x^{2} - 4 x - 1) + (8 x^{2} - x + 6)

What is (2x^3-11x^2+25)/(x-5) ?
The solution to (2x^3-11x^2+25)/(x-5) is 2x^2-x-5