Definition Of Trinomial

A trinomial is a polynomial with three terms.

A polynomial with three terms is called a trinomial.

Example of Trinomial

x² + 5x - 2, - x² - 2x - 3, x² + 9x + 6, x² - 6x + 2, - x² - 4x + 5

Video Examples: Factoring Trinomials

Solved Example on Triangle Proportionality Theorem

Ques: What term should be added to the expression x² + 8x, to make it a perfect square trinomial?

Choices:

A. -16
B. 64
C. 16
D. 4
Correct Answer: C

Solution:

Step 1:x² + 8x        [Original expression.] 
Step 2: To complete the square of the expression x² + bx, add the square of half the coefficient of x, that is, add = (b/2)² 
Step 3: The coefficient b = 8, so add (b/2)²  = (8/2)² = 16, to the expression. 
Step 4:x² + 8x + 4² = x² + 8x + 16 = (x + 4)².
Step 5: 16 should be added to the expression, x² + 8x, to create a perfect square trinomial.

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