Trinomial

Definition of Trinomial

• A trinomial is a polynomial with three terms.
• A polynomial with three terms is called a trinomial.

                   

Examples of Trinomial

• , , , ,

                      

Solved Example on Trinomial

What term should be added to the expression , to make it a perfect square trinomial?

Choices:

A.  -16

B.  64

C.  16

D.   4

Correct Answer: C

Solution:

Step 1:         [Original expression.]

Step 2: To complete the square of the expression , add the square of half the coefficient of x, that is, add .

Step 3: The coefficient b = 8, so add  = = 16, to the expression.

Step 4: .

Step 5: 16 should be added to the expression, , to create a perfect square trinomial.

            

Related Terms for Trinomial

• Polynomial

                                                                

Additional Links for Trinomial

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