Trinomial
an expression with three terms
A trinomial is a mathematical expression that consists of three terms connected by the operations of addition and/or subtraction. It is a polynomial of degree three, meaning the exponent on the variable is 3 (e.g. x^3). A trinomial can have various combinations of variables and constants, and can be written in standard form as:
ax^2 + bx + c
where a, b, and c are coefficients, and x is a variable.
Examples of trinomials include:
1) 2x^2 + 5x – 3
2) -4x^2 – x + 7
3) 3a^2 – 8ab + 4b^2
Trinomials are commonly used in algebraic expressions and equations, and can be factored using a variety of methods, such as factoring by grouping, perfect square trinomial factoring, and quadratic formula. They are also used in polynomial long division and synthetic division.
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