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Definition of a monomial:
A monomial is a variable, a real number, or a multiplication of one or more variables and a real number with whole-number exponents
Examples of monomials and non-monomials
Monomials 9
x
9x
6xy
0.60x4y
Not monomials y - 6
x-1 or 1/x
√(x) or x1/2
6 + x
a/x
Polynomial definition:
A polynomial is a monomial or the sum or difference of monomials. Each monomial is called a term of the poynomial
Important!:Terms are seperated by addition signs and subtraction signs, but never by multiplication signs
A polynomial with one term is called a monomial
A polynomial with two terms is called a binomial
A polynomial with three terms is called a trinomial
Examples of polynomials:
Polynomial Number of terms
Some examples
Monomial 1
2, x, 5x3
Binomial 2
2x + 5, x2 - x, x - 5
Trinomial 3
x2 + 5x + 6, x5 - 3x + 8
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Is this a polynomial or binomial or trinomial 4x2?
It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial).
A word that means a monomial or a sum or difference of monomials?
A polynomial
Why is it that monomial is a polynomial?
A monomial is simply a special case of a polynomial - one with a single term.
Is every term a monomial?
Every term of a polynomial is a monomial.
What is the relationship between a monomial and polynomial?
They both have variables involved. A polynomial is an expression that can be expressed as a0+a1x+a2x2+a3x3+...+...aixi...+...+anxn, for integers i, with 0<=i<=n A monomial can be expressed as aixi with i an integer between 0 and n.
