What is (5x^3-9x+4)/(x^2-3x+2) ?

The solution to (5x^3-9x+4)/(x^2-3x+2) is (5x^2+5x-4)/(x-2)

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simplify (5x^3-9x+4)/(x^2-3x+2)

simplify

\frac{5 x ^{3} - 9 x + 4}{x ^{2} - 3 x + 2}

\frac{5 x ^{2} + 5 x - 4}{x - 2}

Solution steps

\frac{5 x ^{3} - 9 x + 4}{x ^{2} - 3 x + 2}

Factor

5 x^{3} - 9 x + 4 : (x - 1) (5 x^{2} + 5 x - 4)

= \frac{( x - 1 ) ( 5 x ^{2} + 5 x - 4 )}{x ^{2} - 3 x + 2}

Factor

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

= \frac{( x - 1 ) ( 5 x ^{2} + 5 x - 4 )}{( x - 1 ) ( x - 2 )}

Cancel the common factor:

x - 1

= \frac{5 x ^{2} + 5 x - 4}{x - 2}

8.9

2 \cdot \frac{8}{5}

\frac{2 x ^{2} - 32}{3 x ^{2} + 14 x + 8}

5.25

5.56

What is (5x^3-9x+4)/(x^2-3x+2) ?
The solution to (5x^3-9x+4)/(x^2-3x+2) is (5x^2+5x-4)/(x-2)