Factoring Trinomials
Factoring trinomials means transforming a mathematical expression from having three terms to having two terms. A trinomial is a polynomial with three terms, generally represented as ax2+bx+c, where a and b are coefficients, and c is a constant.
To factor a trinomial, two integers, often denoted as r and s, are selected such that their sum equals b, and their product equals ac. Trinomial is then rewritten as ax2 + rx + sx + c. Using distributive property, the polynomial is then factored. Now the trinomial is written as (x + r)(x + s).
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.
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.
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