Saved Bookmarks
| 1. |
Show that the polynomial f(x)= x to the power 4 + 4 x square + 6 has no zero |
| Answer» Given, f(x) = x4 + 4x2 + 6 = (x2)2 + 4x2 + 6Put x2 = aHence x4 + 4x2 + 6 = (x2)2 + 4x2 + 6 = a2 + 4a + 6To 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. | |