TRINOMIAL
Definition of Trinomial
A trinomial is a polynomial with three terms.
A polynomial with three terms is called a trinomial.
Example of Trinomial

x^{2} + 5x  2,  x^{2}  2x  3, x^{2} + 9x + 6, x^{2}  6x + 2,  x^{2}  4x + 5
Video Examples: Factoring Trinomials
Solved Example on Triangle Proportionality Theorem
Ques: What term should be added to the expression x^{2} + 8x, to make it a perfect square trinomial?
Choices:
A. 16B. 64
C. 16
D. 4
Correct Answer: C
Solution:

Step 1:x^{2} + 8x [Original expression.]
Step 2: To complete the square of the expression x^{2} + 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:x^{2} + 8x + 4^{2} = x^{2} + 8x + 16 = (x + 4)^{2}.
Step 5: 16 should be added to the expression, x^{2} + 8x, to create a perfect square trinomial.
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