Final answer:
The expression 6x^2 + x − 1 is a quadratic trinomial because it has a highest degree of 2 and contains three terms.
Step-by-step explanation:
The expression 6x^2 + x − 1 is an example of a quadratic trinomial. It's quadratic because the highest degree of any term is 2 (the term x^2), and it's a trinomial because it consists of three terms. When dealing with such an expression, we can categorize it based on the number and the highest power of the terms present.
The Solution of Quadratic Equations involves mathematical functions known as second-order polynomials or quadratic functions, which can be written in the form ax² + bx + c = 0. To solve for x, you can use methods like factoring, completing the square, or applying the quadratic formula (a is the coefficient of x², b is the coefficient of x, and c is the constant term).