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What else can I help you with?
When will you use polynomial long division in life?
In a mathematics exam.
What are some examples in real life that you might use polynomial division?
Pharmacists and the makers of drugs use polynomial division. They use this type of division to help create formulas to make sure that the proper amount of drug is being distributed to the patients depending on the variables involved.
What are some real life examples where you would use polynomial division?
you can use it house or at the mall or anywhere
What does it mean for a polynomial to be closed under addition subtraction and multiplication?
It means that you can do any of those operations, and again get a number from the set - in this case, a polynomial. Note that if you divide a polynomial by another polynomial, you will NOT always get a polynomial, so the set of polynomials is not closed under division.
What is polynomial division?
That means that you divide one polynomial by another polynomial. Basically, if you have polynomials "A" and "B", you look for a polynomial "C" and a remainder "R", such that: B x C + R = A ... such that the remainder has a lower degree than polynomial "B", the polynomial by which you are dividing. For example, if you divide by a polynomial of degree 3, the remainder must be of degree 2 or less.
When will you use polynomial long division in life?
In a mathematics exam.
Division of polynomial by a polynomial?
Can be done.
What are some examples in real life that you might use polynomial division?
Pharmacists and the makers of drugs use polynomial division. They use this type of division to help create formulas to make sure that the proper amount of drug is being distributed to the patients depending on the variables involved.
What are some examples in real life in which you might use polynomial division?
niga
What are some real life examples where you would use polynomial division?
you can use it house or at the mall or anywhere
What is the step-by-step process of solving polynomial equations using the Ruffini method?
The Ruffini method, also known as synthetic division, is a step-by-step process for solving polynomial equations. Here is a concise explanation of the process: Write the coefficients of the polynomial equation in descending order. Identify a possible root of the polynomial equation and use synthetic division to divide the polynomial by the root. Repeat the process until the polynomial is fully factored. Use the roots obtained from the synthetic division to write the factors of the polynomial equation. Solve for the roots of the polynomial equation by setting each factor equal to zero. This method allows for the efficient solving of polynomial equations by breaking them down into simpler factors.
How do you find the zeros of cubic polynomial equation?
If the cubic polynomial you are given does not have an obvious factorization, then you must use synthetic division. I'm sure wikipedia can tell you all about that.
Which operation between two polynomials will not always result in a polynomial?
Division of one polynomial by another one.
What is synthetic division?
Synthetic division is a simplified method for dividing a polynomial by a linear binomial of the form (x - c). It involves using the coefficients of the polynomial and performing operations that resemble long division but are more streamlined. This technique is particularly useful for quickly finding polynomial quotients and remainders without having to write out the entire long division process. Synthetic division is efficient and can be applied when the divisor is a linear polynomial.
How can you tell if a binomial divides evenly into a polynomial?
Do the division, and see if there is a remainder.
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 is the quotient in polynomial form?
The quotient in polynomial form refers to the result obtained when one polynomial is divided by another polynomial using polynomial long division or synthetic division. It expresses the division result as a polynomial, which may include a remainder expressed as a fraction of the divisor. The quotient can help simplify expressions and solve polynomial equations. For example, dividing (x^3 + 2x^2 + x + 1) by (x + 1) yields a quotient of (x^2 + x) with a remainder.
