SOLUTION: State a definition of a polynomial in x in your own words. Give an example of a monomial, binomial and a trinomial.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: State a definition of a polynomial in x in your own words. Give an example of a monomial, binomial and a trinomial.      Log On


   

Question 423942: State a definition of a polynomial in x in your own words. Give an example of a monomial, binomial and a trinomial.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
A polynomial in x is an algebraic expression of the form
a%5B0%5Dx%5En+%2B+a%5B1%5Dx%5E%28n-1%29+%2B+a%5B2%5Dx%5E%28n-2%29+...+a%5Bn-2%5Dx%5E2+%2B+a%5Bn-1%5Dx+%2B+a%5Bn%5D,
where the powers of x are non-negative integers, and the coefficients a%5Bk%5D are complex numbers.
Monomials: 2x, -pi%2Ax%5E100, -3%2F2, etc.
Binomials: 2x - 3, x%5E5+-5+x%5E4, -x%5E2011+%2B+2012, etc.
Trinomials: 2x%5E2+-+i%2Ax+%2B+%285i+-+3%29, x%5E2011++-+x%5E2010+%2B+x%5E2009, etc.