Trinomial
an algebraic expression consisting of three terms
A trinomial is a polynomial that consists of three terms. It is a type of algebraic expression that has a degree of 3. The three terms are separated by either addition or subtraction operators.
A trinomial can be expressed in the general form as:
ax^2 + bx + c
where a, b, and c are constants and x is a variable. The coefficients a, b, and c determine the shape and location of the parabola that the trinomial represents when graphed.
Trinomials can be classified based on different factors like their degree, the sign of the leading coefficient, and the number of real solutions they have.
Trinomials can be solved by factoring or by using the quadratic formula. Factoring involves finding two factors that when multiplied together will give you the trinomial. The quadratic formula, on the other hand, is a formula that gives the solutions of quadratic equations directly.
In summary, a trinomial is a polynomial expression with three terms, can be classified based on different factors, and can be solved using various methods like factoring or the quadratic formula.
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