trinomial


Definition of Trinomial

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

Examples of Trinomial

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

Solved Example on Trinomial

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 .
Step 3: The coefficient b = 8, so add  = = 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.

Related Terms for Trinomial

  • Polynomial