Solve the polynomial inequality.
-$$x ^ { 4 } - 6 x ^ { 3 } - 60 x ^ { 2 } + 152 x + 480 \leq 0$$
A) $[ - 6,10 ]$
B) $[ - 6 , - 2 ] \cup [ 4,10 ]$
C) $( - 6 , - 2 ) \cup [ 4,10 ]$
D) $[ - 6 , - 2 ] \cup ( 4,10 )$

Question

Quizplus · Accepted Answer

The polynomial changes sign at the roots, and testing intervals shows it is non-positive on $[-6, -2]$ and $[4, 10]$.

Solve the Polynomial Inequality x4−6x3−60x2+152x+480≤0x ^ { 4 } - 6 x ^ { 3 } - 60 x ^ { 2 } + 152 x + 480 \leq 0x4−6x3−60x2+152x+480≤0

Solve the Polynomial Inequality $x ^ { 4 } - 6 x ^ { 3 } - 60 x ^ { 2 } + 152 x + 480 \leq 0$