What is (6x^3-16x^2+17x-6)/(3x-2) ?

The solution to (6x^3-16x^2+17x-6)/(3x-2) is 2x^2-4x+3

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simplify (6x^3-16x^2+17x-6)/(3x-2)

simplify

\frac{6 x ^{3} - 16 x ^{2} + 17 x - 6}{3 x - 2}

2 x^{2} - 4 x + 3

Solution steps

\frac{6 x ^{3} - 16 x ^{2} + 17 x - 6}{3 x - 2}

Factor

6 x^{3} - 16 x^{2} + 17 x - 6 : (3 x - 2) (2 x^{2} - 4 x + 3)

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

Cancel the common factor:

3 x - 2

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

\frac{40}{120}

\frac{1}{2} + \frac{3}{6}

\frac{10 !}{( 10 - 5 ) !}

(2 - 3 i) - 3 i

(2 x - 4 y) (2 x + 4 y)

What is (6x^3-16x^2+17x-6)/(3x-2) ?
The solution to (6x^3-16x^2+17x-6)/(3x-2) is 2x^2-4x+3