What is (-2x^2+5x+33)/(x+3) ?

The solution to (-2x^2+5x+33)/(x+3) is -2x+11

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simplify (-2x^2+5x+33)/(x+3)

simplify

\frac{- 2 x ^{2} + 5 x + 33}{x + 3}

- 2 x + 11

Solution steps

\frac{- 2 x ^{2} + 5 x + 33}{x + 3}

Factor out

- 1 : - (2 x^{2} - 5 x - 33)

= \frac{- ( 2 x ^{2} - 5 x - 33 )}{x + 3}

Factor

2 x^{2} - 5 x - 33 : (x + 3) (2 x - 11)

= \frac{- ( x + 3 ) ( 2 x - 11 )}{x + 3}

Cancel the common factor:

x + 3

= - (2 x - 11)

Simplify

- (2 x - 11) : - 2 x + 11

= - 2 x + 11

5 (3 x - 7 + 4 y)

\frac{6 5}{7}

\frac{1}{12} + \frac{1}{10}

\frac{25 x - 5}{25 x ^{2} - 10 x + 1}

x^{3} + 4 x^{2} - 3 x - 12