1. 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`

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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`

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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`