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What is the meaning of rational algebraic expression?
A rational algebraic expression is the ratio of two polynomials, each with rational coefficients. By suitable rescaling, both the polynomials can be made to have integer coefficients.
What are the rules in addition of polynomials?
Add together the coefficients of "like" terms. Like terms are those that have the same powers of the variables in the polynomials.
Can polynomials have radicals?
no only the coefficients can. like rad 5 but not x or y
Rules in adding polynomials?
To add polynomials , simply combine similar terms. Combine similar terms get the sum of the numerical coefficients and affix the same literal coefficient .
What does poloments mean?
"Poloments" appears to be a misspelling. If you meant "polynomials," they are mathematical expressions with multiple terms involving variables and coefficients. Polynomials are commonly used in algebra and calculus.
Will the product of two polynomials always be a polynomial?
Yes, the product of two polynomials will always be a polynomial. This is because when you multiply two polynomials, you are essentially combining like terms and following the rules of polynomial multiplication, which results in a new polynomial with coefficients that are the products of the corresponding terms in the original polynomials. Therefore, the product of two polynomials will always be a polynomial.
What is the definition of cofficient of polynomial?
The coefficients of polynomials are the numbers in front of the variable expressions. Ex: In the polynomial: 3x^5 + 12x^2 - 45x + 134 the numerical coefficients are: 3,12,& -45
Are polynomials a closed set under addition?
Yes, polynomials are a closed set under addition. This means that if you take any two polynomials and add them together, the result will also be a polynomial. The sum of two polynomials retains the structure of a polynomial, as it still consists of terms with non-negative integer exponents and real (or complex) coefficients.
what is irreducible?
An irreducible equation is an irreducible polynomial which is equal to zero. A polynomial is irreducible over a particular type of number if it cannot be factorised into the products of two or more lower degree polynomials with coefficients of that type of number. For example, the equation x2 + 1 =0 is irreducible over the real numbers; there are no lower order polynomials, containing only real coefficients, which could be multiplied together to give this equation.
What are the Basic concepts of rational function?
Thee basic concept is that an rational function is one polynomial divided by another polynomial. The coefficients of these polynomials need not be rational numbers.
What is a factor that is not the product of polynomials having integer coefficients?
(2/3)x - 6 has a rational coefficient. (sq root 2)x + 4 has an irrational coefficient.
What is irreducible equation?
An irreducible equation is an irreducible polynomial which is equal to zero. A polynomial is irreducible over a particular type of number if it cannot be factorised into the products of two or more lower degree polynomials with coefficients of that type of number. For example, the equation x2 + 1 =0 is irreducible over the real numbers; there are no lower order polynomials, containing only real coefficients, which could be multiplied together to give this equation.
