What is ((5x^3-13x^2+4x+4))/((5x+2)) ?

The solution to ((5x^3-13x^2+4x+4))/((5x+2)) is (x-1)(x-2)

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simplify ((5x^3-13x^2+4x+4))/((5x+2))

simplify

\frac{( 5 x ^{3} - 13 x ^{2} + 4 x + 4 )}{( 5 x + 2 )}

(x - 1) (x - 2)

Solution steps

\frac{5 x ^{3} - 13 x ^{2} + 4 x + 4}{5 x + 2}

Use the rational root theorem

= \frac{( x - 1 ) \frac{5 x ^{3} - 13 x ^{2} + 4 x + 4}{x - 1}}{5 x + 2}

\frac{5 x ^{3} - 13 x ^{2} + 4 x + 4}{x - 1} = 5 x^{2} - 8 x - 4

= \frac{( x - 1 ) ( 5 x ^{2} - 8 x - 4 )}{5 x + 2}

Factor

5 x^{2} - 8 x - 4 : (5 x + 2) (x - 2)

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

Cancel the common factor:

5 x + 2

= (x - 1) (x - 2)

9 x^{2} - 15 x^{4}

2 f (n) - 1

\frac{1}{2 ln ( e ^{x + y} )}

(2 x + 5)^{2} - (2 x - 5)^{2}

(\frac{w + 1}{w})^{3} + (\frac{w ^{4} + 1}{w ^{4}})^{4}

What is ((5x^3-13x^2+4x+4))/((5x+2)) ?
The solution to ((5x^3-13x^2+4x+4))/((5x+2)) is (x-1)(x-2)