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

A:
Algebraic Expression: A combination of terms obtained by the operations of "+" or "-" or both is called an algebraic expression.
Examples: (i) 5x+6y (ii) 3a-7b.
Monomial:
An expression containing only one term is called a monomial.
Example: 7, x, [ 7x, -6x, ab, etc.
A monomial is a number, a variable, or the product of a number and one or more variables with whole number exponents.
monomial is

a single term which has no plus sign (+) or minus sign (-).
Not a monomial: 8 + x, 2/n, 5x, a-1, ?x, -3x-3, x2.5
Binomial: An expression containing two terms is called a binomial.
Examples: 7x+5, 6y-p, etc.
Trinomial: An expression containing three terms is called a trinomial.
Examples: 2x+3y-4z, 1/2-m/3+4n, etc. ]

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