Examples on Trinomials
Some examples of trinomial are,
Example 1: Factor the trinomial: (y2 – 6y + 9)
Solution:
Coefficients of a, b, and c are
- a=1
- b= -6
- c=9
(1 × 9 = 9) and 1 + (-6) = -5)
= y2 – 3y – 3y + 9
= y(y – 3) – 3(y – 3)
= (y – 3)(y – 3) or (y – 3)2
Example 2: Factor the trinomial: 4m2 – 12m + 9
Solution:
Coefficients of a, b, and c are
- a = 4
- b = -12
- c = 9
(4 × 9 = 36) and 4 + (-12) = -8)
= (4m2 – 6m – 6m + 9)
= 2m(2m – 3) – 3(2m – 3)
= (2m – 3)(2m – 3) or (2m – 3)2
Trinomials
A trinomial is a type of polynomial that consists of three terms. These terms are usually written as ax² + bx + c, where a, b, and c are constants, and x is the variable. Trinomials are common in algebra, particularly when dealing with quadratic equations, which can often be expressed or factored into trinomial form.
Trinomials
It is the expression that consist of three terms, the common form of trinomial is ax2 + bx + c. Trinomials in algebra, are essential for solving quadratic equations and analyzing various mathematical models.
Let’s know more about Trinomials definition, formula and examples in detail.