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

(2 x - 3) (x - 5)

(2 x - 3) (x - 4)

(x - 2) (x - 3) (x - 5)

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

(5 + 6 i) (- 4 + 7 i)

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