Use factoring and the root method to solve the polynomial equation.
-$11 x ^ { 4 } - 33 x ^ { 2 } = 0$
A) $- \sqrt { 3 } , \sqrt { 3 }$
B) $0 , - 3,3$
C) $0 , - \sqrt { 3 } , \sqrt { 3 }$
D) $0 , \sqrt { 3 }$

Question

Quizplus · Accepted Answer

First, factor out the common term, which is $11x^2$, to get $11x^2(x^2 - 3) = 0$. Setting each factor equal to zero gives $x^2 = 0$ and $x^2 - 3 = 0$. Solving these equations gives $x = 0$, $x = \sqrt{3}$, and $x = -\sqrt{3}$.

Use Factoring and the Root Method to Solve the Polynomial 11x4−33x2=011 x ^ { 4 } - 33 x ^ { 2 } = 011x4−33x2=0

Use Factoring and the Root Method to Solve the Polynomial $11 x ^ { 4 } - 33 x ^ { 2 } = 0$