What is (2x^3+3x^2-14x+9)/(x-1) ?

The solution to (2x^3+3x^2-14x+9)/(x-1) is 2x^2+5x-9

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simplify (2x^3+3x^2-14x+9)/(x-1)

simplify

\frac{2 x ^{3} + 3 x ^{2} - 14 x + 9}{x - 1}

2 x^{2} + 5 x - 9

Solution steps

\frac{2 x ^{3} + 3 x ^{2} - 14 x + 9}{x - 1}

Factor

2 x^{3} + 3 x^{2} - 14 x + 9 : (x - 1) (2 x^{2} + 5 x - 9)

= \frac{( x - 1 ) ( 2 x ^{2} + 5 x - 9 )}{x - 1}

Cancel the common factor:

x - 1

= 2 x^{2} + 5 x - 9

(\frac{5}{11})^{- 5}

(x - 4) (x^{2} + 25)

6 u^{2} + 8 u - 2 u

932 - 68 + 25

\frac{7}{5} \div \frac{- 7}{3}

What is (2x^3+3x^2-14x+9)/(x-1) ?
The solution to (2x^3+3x^2-14x+9)/(x-1) is 2x^2+5x-9