ত্ৰিপদ (Assamese) [ Roman: tri.pod]
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Contributed by: Probodh Borah (প্ৰবোধ বৰা) on 2011-04-28
Ref: চন্দ্ৰকান্ত অভিধান
1. (Proper Adj.-Neuter) measuring equivalent to three paces তিনি খোজৰ সমান জোখৰAssamese:
2. AlgebraIn elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.
== Examples of trinomial expressions ==
3x+5y+8z with x,y,z variables
3t+9s2+3y3 with t,s,y variables
3ts+9t+5s with t,s variables
ax2+bx+c, the quadratic polynomial in standard form with a,b,c variables.
Axaybzc+Bt+Cs with x,y,z,t,s variables, a,b,c nonnegative integers and A,B,C any constants.
Pxa+Qxb+Rxc where x is variable and constants a,b,c are nonnegative integers and P,Q,R any constants.
== Trinomial equation ==
A trinomial equation is a polynomial equation involving three terms. An example is the equation x=q+xm studied by Johann Heinrich Lambert in the 18th century.
=== Some notable trinomials ===
The quadratic trinomial in standard form (as from above):
ax2+bx+c
sum or difference of two cubes:
a3±b3=(a±b)(a2∓ab+b2)
A special type of trinomial can be factored in a manner similar to quadratics since it can be viewed as a quadratic in a new variable (xn below). This form is factored as:
x2n... from wikipedia.org