What is (3x^3+2x^2-3x+54)/(x+3) ?

The solution to (3x^3+2x^2-3x+54)/(x+3) is 3x^2-7x+18

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simplify (3x^3+2x^2-3x+54)/(x+3)

simplify

\frac{3 x ^{3} + 2 x ^{2} - 3 x + 54}{x + 3}

3 x^{2} - 7 x + 18

Solution steps

\frac{3 x ^{3} + 2 x ^{2} - 3 x + 54}{x + 3}

Factor

3 x^{3} + 2 x^{2} - 3 x + 54 : (x + 3) (3 x^{2} - 7 x + 18)

= \frac{( x + 3 ) ( 3 x ^{2} - 7 x + 18 )}{x + 3}

Cancel the common factor:

x + 3

= 3 x^{2} - 7 x + 18

(x + h + 1) (x - 1)

2 \times \frac{3}{10}

\frac{1}{2} \times \frac{2}{3}

3 (2 p + 4 - p - 9)

x^{- 1}

What is (3x^3+2x^2-3x+54)/(x+3) ?
The solution to (3x^3+2x^2-3x+54)/(x+3) is 3x^2-7x+18