Find a cubic function with the given zeros.
-$\sqrt { 6 } , - \sqrt { 6 } , 2$
A) $f ( x ) = x ^ { 3 } - 2 x ^ { 2 } + 6 x + 12$
B) $f ( x ) = x ^ { 3 } - 2 x ^ { 2 } - 6 x + 12$
C) $f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 6 x + 12$
D) $f ( x ) = x ^ { 3 } - 2 x ^ { 2 } - 6 x - 12$

Question

Quizplus · Accepted Answer

The cubic function with zeros $\sqrt{6}$, $-\sqrt{6}$, and $2$ is $f(x) = (x - \sqrt{6})(x + \sqrt{6})(x - 2)$. Expanding this gives $f(x) = x^3 - 2x^2 - 6x + 12$.

Find a Cubic Function with the Given Zeros 6,−6,2\sqrt { 6 } , - \sqrt { 6 } , 26​,−6​,2

Find a Cubic Function with the Given Zeros $\sqrt { 6 } , - \sqrt { 6 } , 2$