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Determine the real x-intercept(s) of the polynomial .
MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials
Problem Determine the real x-intercept(s) of the polynomial f ( x ) = x 3 − 4 x f(x)=x^{3}-4x f ( x ) = x 3 − 4 x .
(a) ( − 2 , 0 ) (-2,0) ( − 2 , 0 ) and ( 2 , 0 ) (2,0) ( 2 , 0 )
(b) ( − 1 , 0 ) , ( 0 , 0 ) , ( 4 , 0 ) (-1,0),\,(0,0),\,(4,0) ( − 1 , 0 ) , ( 0 , 0 ) , ( 4 , 0 )
(c) ( − 2 , 0 ) , ( 0 , 0 ) , ( 2 , 0 ) (-2,0),\,(0,0),\,(2,0) ( − 2 , 0 ) , ( 0 , 0 ) , ( 2 , 0 )
(d) ( − 2 3 , 0 ) , ( 2 3 , 0 ) \left(-\dfrac{2}{\sqrt{3}},0\right),\,\left(\dfrac{2}{\sqrt{3}},0\right) ( − 3 2 , 0 ) , ( 3 2 , 0 )
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