Solve the polynomial inequality.
-$( x + 1 ) ( x - 1 ) ^ { 2 } 0$

Question

Solve the polynomial inequality.
-$( x + 1 ) ( x - 1 ) ^ { 2 } > 0$

Quizplus · Accepted Answer

To solve the inequality $(x + 1)(x - 1)^2 > 0$, we find the critical points by setting the expression equal to zero: $x + 1 = 0$ gives $x = -1$, and $x - 1 = 0$ gives $x = 1$. These are the points where the sign of the expression can change. Testing intervals around these points, we find that the expression is positive for $x \in (-1, 1)$ and $x \in (1, \infty)$. Therefore, the solution is $(-1, 1) \cup (1, \infty)$.

Solve the Polynomial Inequality (x+1)(x−1)2>0( x + 1 ) ( x - 1 ) ^ { 2 } > 0(x+1)(x−1)2>0

Solve the Polynomial Inequality $( x + 1 ) ( x - 1 ) ^ { 2 } > 0$