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Show that the polynomial f(x)= x …

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Show that the polynomial f(x)= x to the power 4 + 4 x square + 6 has no zero
  • 1 answers

Ashutosh Das 6 years, 6 months ago

Given, f(x) = x4 + 4x2 + 6 = (x2)2 + 4x2 + 6 Put x2 = a Hence x4 + 4x2 + 6 = (x2)2 + 4x2 + 6 = a2 + 4a + 6 To find the zero of the above polynomial, we take a2 + 4a + 6 = 0 We know D=b2-4ac .D=4^2-4*1*6 =16-24= -8 Here D<0 so it has no real root.
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