Example1. Find Missing Middle Term of a given equation x^2+4
Solution: x^2+4
Here "F.T. = x^2, L.T. = 4 and M.T. = ?
(M.T.)^2 = 4(F.T.)(L.T.)
:. (M.T.)^2 = 4 * x^2 * 4=16x^2
:. M.T. = 4x
So polynomial is x^2+4x+4
2. Find Missing Last Term of a given equation x^2+6x
Solution: x^2+6x
Here "F.T.=x^2, M.T. = 6x and L.T. = ?
(M.T.)^2 = 4(F.T.)(L.T.)
:. L.T. = (M.T.)^2 / (4(F.T.))
= (6x)^2 / (4 * x^2)
= (6x * 6x) / (4 * x^2)
= 9
:. L.T.=9
So polynomial is x^2+6x+9
3. Find Missing First Term of a given equation 6x+1
Solution: 6x+1
Here "L.T.=1, M.T. = 6x and F.T. = ?
(M.T.)^2 = 4(F.T.)(L.T.)
:. F.T. = (M.T.)^2 / (4(L.T.))
= (6x)^2 / (4 * 1)
= (6x * 6x) / (4 * 1)
= 9x^2
:. F.T.=9x^2
So polynomial is 9x^2+6x+1
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