Find a cubic function with the given zeros.
-$\sqrt { 2 } , - \sqrt { 2 } , - 7$
A) $f ( x ) = x ^ { 3 } + 7 x ^ { 2 } + 2 x - 14$
B) $f ( x ) = x ^ { 3 } + 7 x ^ { 2 } - 2 x - 14$
C) $f ( x ) = x ^ { 3 } + 7 x ^ { 2 } - 2 x + 14$
D) $f ( x ) = x ^ { 3 } - 7 x ^ { 2 } - 2 x - 14$

Question

Quizplus · Accepted Answer

The cubic function with zeros $\sqrt{2}$, $-\sqrt{2}$, and $-7$ can be expressed as $f(x) = (x - \sqrt{2})(x + \sqrt{2})(x + 7)$. Expanding this product gives $f(x) = (x^2 - 2)(x + 7) = x^3 + 7x^2 - 2x - 14$.

Find a Cubic Function with the Given Zeros 2,−2,−7\sqrt { 2 } , - \sqrt { 2 } , - 72​,−2​,−7

Find a Cubic Function with the Given Zeros $\sqrt { 2 } , - \sqrt { 2 } , - 7$