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Dividing polynomials can be done using either long division or synthetic division. In long division, you divide the leading term of the dividend by the leading term of the divisor, multiply the entire divisor by that result, subtract it from the dividend, and repeat the process with the new polynomial. Synthetic division is a faster method applicable when dividing by a linear binomial, where you use the coefficients of the polynomial and perform a series of multiplications and additions. Both methods will yield a quotient and a remainder.
What else can I help you with?
How do you divide polynomials?
dividing polynomials is just like dividing whole nos..
Are polynomials closed under the operations of subtraction addition and multiplication?
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.
Dividing polynomials when the divisor is a polynomial of the second degree by method of synthetic division.?
I can solve this question . But i think it is better to hold on . I want to register my finding with my name.
Why are polynomials not closed under division?
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.
Where did René Descartes invent polynomials?
Descartes did not invent polynomials.
How do you divide polynomials?
dividing polynomials is just like dividing whole nos..
Can you always use synthetic division for dividing polynomials?
no
Who contribute synthetic division?
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.
How To Divide polynomials?
Dividing polynomials is a lot easier for me. You'll have to divide it term by term like dividing normal numbers.
Are polynomials closed under the operations of subtraction addition and multiplication?
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.
Where to find answers to mcgraw hill worksheets?
lesson 5-2 dividing polynomials
Polynomials have factors that are?
Other polynomials of the same, or lower, order.
What career uses dividing monomials?
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.
Dividing polynomials when the divisor is a polynomial of the second degree by method of synthetic division.?
I can solve this question . But i think it is better to hold on . I want to register my finding with my name.
Why are polynomials not closed under division?
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.
What are polynomials that have factors called?
Reducible polynomials.
How polynomials and non polynomials are alike?
they have variable
