Home > Algebra calculators > Find the missing term in a perfect square trinomial calculator

Method and examples
 
Method

1. Completing the square for quadratic equation

2. Determining if the polynomial is a perfect square

3. Find the missing term in a perfect square trinomial
Just enter only two known terms and don't enter anything for missing terms

SolutionHelp
Find the missing term in a perfect square trinomial calculator
1. Completing the square for quadratic equation
1. 3x^2+5x+2
2. 9x^2+6x+1
3. x^2+6x+9

2. Determining if the polynomial is a perfect square
1. 4x^2 + 4x + 4
2. x^2 - 4xy + 4y^2
3. 30xy - 25x^2y^2 + 9

3. Find the missing term in a perfect square trinomial
1. x^2 + ____ + 4
2. 9x^2 - ____ + 16
3. ____ + 12x^2 + 9
4. 49x^2 + 56 xy + ____
5. 25x^2 - ____ + 121y^2
6. 9x^2 + ____ + y^2
7. x^4y^2 - 10x^2yz + ____


Example
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
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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