dividing polynomials is just like dividing whole nos..
Yes, polynomials are closed under the operations of addition, subtraction, and multiplication. This means that when you add, subtract, or multiply two polynomials, the result is always another polynomial. For example, if ( p(x) ) and ( q(x) ) are polynomials, then ( p(x) + q(x) ), ( p(x) - q(x) ), and ( p(x) \cdot q(x) ) are all polynomials as well. However, polynomials are not closed under division, as dividing one polynomial by another can result in a non-polynomial expression.
I can solve this question . But i think it is better to hold on . I want to register my finding with my name.
Polynomials are not closed under division because dividing one polynomial by another can result in a quotient that is not a polynomial. Specifically, when a polynomial is divided by another polynomial of a higher degree, the result can be a rational function, which includes terms with variables in the denominator. For example, dividing (x^2) by (x) gives (x), a polynomial, but dividing (x) by (x^2) results in (\frac{1}{x}), which is not a polynomial. Thus, the closure property does not hold for polynomial division.
Descartes did not invent polynomials.
dividing polynomials is just like dividing whole nos..
no
The French mathematician Descartes is credited with developing synthetic division as a method for dividing polynomials. It is a useful technique for dividing polynomials by linear factors and is commonly used in algebra and calculus.
Dividing polynomials is a lot easier for me. You'll have to divide it term by term like dividing normal numbers.
lesson 5-2 dividing polynomials
Other polynomials of the same, or lower, order.
This is a tough question. There aren't many jobs that use monomials and polynomials daily but if you want to have a career as a math teacher you have to know this.
I can solve this question . But i think it is better to hold on . I want to register my finding with my name.
Reducible polynomials.
they have variable
P. K. Suetin has written: 'Polynomials orthogonal over a region and Bieberbach polynomials' -- subject(s): Orthogonal polynomials 'Series of Faber polynomials' -- subject(s): Polynomials, Series
In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) are a class of classical orthogonal polynomials.