Mastering Trinomials: the Forms and Techniques for Solving

Trinomial

An algebraic expression with three terms

In algebra, a trinomial is a polynomial with three terms. The word tri implies that there are three terms within the polynomial. Trinomials can take various forms, such as:

1. ax^2 + bx + c where a, b, and c are constants and x is a variable. This is also known as a quadratic trinomial.
2. kx^2 + lxm + mn where k, l, m, and n are constants and x is a variable.
3. a^3 + b^3 + c^3 where a, b, and c are constants and the terms within the polynomial are cubes of the constants.

Trinomials can be solved using a variety of techniques such as factoring, completing the square, and the quadratic formula. Factoring involves finding two separate binomials whose product will form the original trinomial. Completing the square involves converting the trinomial into a perfect square trinomial, which can then be solved by taking the square root. The quadratic formula is a formula used to solve quadratic trinomials in the form ax^2 + bx + c.

In summary, a trinomial is a polynomial with three terms, and it can take various forms. Solving trinomials requires different techniques depending on the form of the trinomial.

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