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What do you call the sum of two or more monomials or even one monomial whose exponents are whole numbers?
A polynomial.
What does binomial mean?
In algebra, an expression consisting of the sum or difference of two monomials (see the definition of monomial), such as 4a-8b.
Why monomial is not polynomial?
In mathematics, a polynomial is a finite expression made up of variables and constants, by using the operations of addition, subtraction, multiplication. The other requirement is the the exponents bet non-negative whole number.A polynomial is the sum of two or more monomials. That is why a monomial is not a polynomial.
If a polynomial is the difference of two squares?
No, a polynomial is the sum of any two monomials, i.e., any two terms, for example, a + b, a - b, a2 + b2, x2y -3, etc. ("Sum" may include negative terms.)No, a polynomial is the sum of any two monomials, i.e., any two terms, for example, a + b, a - b, a2 + b2, x2y -3, etc. ("Sum" may include negative terms.)No, a polynomial is the sum of any two monomials, i.e., any two terms, for example, a + b, a - b, a2 + b2, x2y -3, etc. ("Sum" may include negative terms.)No, a polynomial is the sum of any two monomials, i.e., any two terms, for example, a + b, a - b, a2 + b2, x2y -3, etc. ("Sum" may include negative terms.)
What is the difference between polynomial and monomial?
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 exponentsExamples of monomials and non-monomialsMonomials 9x9x6xy0.60x4yNot monomials y - 6x-1 or 1/x√(x) or x1/26 + xa/xPolynomial definition:A polynomial is a monomial or the sum or difference of monomials. Each monomial is called a term of the poynomialImportant!:Terms are seperated by addition signs and subtraction signs, but never by multiplication signsA polynomial with one term is called a monomialA polynomial with two terms is called a binomialA polynomial with three terms is called a trinomialExamples of polynomials:Polynomial Number of termsSome examplesMonomial 12, x, 5x3Binomial 22x + 5, x2 - x, x - 5Trinomial 3x2 + 5x + 6, x5 - 3x + 8
