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No, the sum of two monomials is not always a monomial. A monomial is a single term that consists of a coefficient and variables raised to non-negative integer powers. When two monomials are added, they can only be combined if they have the same variables raised to the same powers; otherwise, the result is a polynomial with multiple terms, not a single 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.
What is the sum of two unlike monomials?
The sum of two unlike monomials involves combining them by simply writing them next to each other, as they cannot be combined algebraically. Unlike monomials have different variables or powers, so they retain their individual identities in the sum. For example, the sum of (3x^2) and (4y) is expressed as (3x^2 + 4y).
Is monomials are polynomials?
Yes, monomials are a specific type of polynomial. A monomial is a polynomial that consists of only one term, which can include variables raised to non-negative integer exponents and coefficients. In contrast, a polynomial can have multiple terms, such as binomials (two terms) or trinomials (three terms). Therefore, all monomials are polynomials, but not all polynomials are monomials.
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 sum of two unlike monomials?
The sum of two unlike monomials involves combining them by simply writing them next to each other, as they cannot be combined algebraically. Unlike monomials have different variables or powers, so they retain their individual identities in the sum. For example, the sum of (3x^2) and (4y) is expressed as (3x^2 + 4y).
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)
What two monomials whose greatest common factor is 4M?
The two monomials with a greatest common factor of 4M would be 4M and another monomial that includes 4M as a factor. For example, 4M and 12M would have a greatest common factor of 4M. This is because both 4M and 12M can be divided by 4M without a remainder. The greatest common factor represents the largest monomial that can divide evenly into both monomials.
