Solve the polynomial inequality.
-$$( x - 3 ) \left( x ^ { 2 } - 3 x - 10 \right)

Name: Solve the polynomial inequality. -\[( x - 3 ) \left( x ^ { 2 } - 3 x - 10 \right) < 0\] A) $( - \infty , - 2 ) \cup ( 3 , \infty )$ B) $( - \infty , - 2 ) \cup ( 3,5 )$ C) $( - \infty , 5 )$ D) $( - 2,3 ) \cup ( 5 , \infty )$
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Question

Solve the polynomial inequality.
-$$( x - 3 ) \left( x ^ { 2 } - 3 x - 10 \right) < 0$$
A) $( - \infty , - 2 ) \cup ( 3 , \infty )$
B) $( - \infty , - 2 ) \cup ( 3,5 )$
C) $( - \infty , 5 )$
D) $( - 2,3 ) \cup ( 5 , \infty )$

Quizplus · Accepted Answer

The roots of the inequality are $x = 3$, $x = -2$, and $x = 5$. Testing intervals between these roots, the inequality is satisfied in the intervals $(- \infty , - 2 )$ and $( 3,5 )$.

Solve the Polynomial Inequality (x−3)(x2−3x−10)<0( x - 3 ) \left( x ^ { 2 } - 3 x - 10 \right) < 0(x−3)(x2−3x−10)<0

Solve the Polynomial Inequality $( x - 3 ) \left( x ^ { 2 } - 3 x - 10 \right) < 0$