TRINOMIAL

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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