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Q: Is the sum of two monomials always a monomial?
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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

Related questions

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials?

sum of the monomials APEX =)


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.


What is the relationship between monomials binomials and trinomials?

A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.


What is the sum of two monomials?

HAAA


What is a monomial problem in algebra?

Monomial has two different meanings;1. is a product of powers of variables.2. The second meaning of monomial includes monomials in the first sense, but also allows multiplication by any constant, so that − 7x5 and (3 − 4i)x4yz13 are also considered to be monomials


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.


Is 5 a monomial?

yes- monomial means having one term, 5, 5x and 13xyz are all monomials 2 +13x, and 34xy- 3z are binomials. ( bi means two)


What is the definition of monomials?

A product of variables and numbers. Ex:) 5xIt can only be a product (multiplication). If you have 5 + x, then that would be a binomial because it has two monomials: 5 and x.A monomial is very similar to a term!


How do you factor a monomial?

To factor a monomial, is to write the monomial as the product of two monomials. there are more than one possible answers when factoring For example if you had: 6x4 the answer could be -(2x3)(3x) -(2x2)(3x2) -(6x)(x3) -(x)(6x3) -(6x2)(x2)


Is M a monomial?

Yes. "Monomial" has two definitions: 1. Any number like 1, x, xn, xyz, or xaybzc (with n, a, b, and c positive integers). 2. Anything under definition 1, but including monomials multiplied by a constant, like -5x and (1+2i)xy. Assuming "M" is a variable, "M" is a monomial by either definition. Basically, (by the second definition) a monomial is something that's one of the terms of a polynomial. e.g. in x2 + 5x - 3, x2, 5x, and -3 are monomials, and in x2 + xy + y2, x2, xy, and y2 are monomials.


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.)