Mastering Trinomials: And Solving Polynomial Expressions

Trinomial

An algebraic expression with three terms

A trinomial is a mathematical expression that consists of three terms connected by addition and/or subtraction, typically in the form of ax² + bx + c. In other words, it is a polynomial with three terms.

The first term of a trinomial is always a coefficient multiplied by a variable raised to a power, typically x² or higher. The second term is a coefficient multiplied by a variable without an exponent, typically x. The third term is a constant numerical value.

Trinomials commonly arise in algebraic expressions, such as in quadratic equations. To solve a quadratic equation with a trinomial, we usually use techniques such as factoring, completing the square or the quadratic formula.

For example, the trinomial x² + 4x – 5 can be factored as (x+5)(x-1), which reveals the two values of x that make the expression equal to zero: x = -5 and x = 1.

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