What is ((x-2)^2(x+1))/((x-3))>0 ?

The solution to ((x-2)^2(x+1))/((x-3))>0 is x 3

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((x-2)^2(x+1))/((x-3))>0

\frac{( x - 2 ) ^{2} ( x + 1 )}{( x - 3 )} > 0

x < - 1 or x > 3

Interval Notation

(- \infty, - 1) \cup (3, \infty)

Solution steps

\frac{( x - 2 ) ^{2} ( x + 1 )}{x - 3} > 0

Identify the intervals

x < - 1 or x > 3

\frac{( x + 1 )}{( ( x - 1 ) ^{2} )} \leq 1

\frac{( 6 - 2 x )}{( x ^{2} + 5 )} \geq 0

\frac{( x ^{3} + 1 )}{( x ^{4} + x ^{3} - 10 x ^{2} - 13 x + 21 )} > 0

(x + 1) (x^{2} + x - 1) < (x + 1)

(x - 1)^{2} \cdot (x + 1)^{3} \cdot (x - 4) \geq 0

What is ((x-2)^2(x+1))/((x-3))>0 ?
The solution to ((x-2)^2(x+1))/((x-3))>0 is x<-1\lor x>3