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?
Correct Answer: C
Step 1:x2 + 8x [Original
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.