What is (3x^3+x^2-4x+12)/(x+2) ?

The solution to (3x^3+x^2-4x+12)/(x+2) is 3x^2-5x+6

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simplify (3x^3+x^2-4x+12)/(x+2)

simplify

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

3 x^{2} - 5 x + 6

Solution steps

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

Factor

3 x^{3} + x^{2} - 4 x + 12 : (x + 2) (3 x^{2} - 5 x + 6)

= \frac{( x + 2 ) ( 3 x ^{2} - 5 x + 6 )}{x + 2}

Cancel the common factor:

x + 2

= 3 x^{2} - 5 x + 6

(2^{4})^{3}

(4 - 2 i) - (4 - 7 i)

\frac{- x}{2}

\frac{18}{10}

\frac{( x ^{2} - 9 )}{( x - 3 )}

What is (3x^3+x^2-4x+12)/(x+2) ?
The solution to (3x^3+x^2-4x+12)/(x+2) is 3x^2-5x+6