In a mathematics exam.
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.
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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.
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.
In a mathematics exam.
Can be done.
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.
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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.
Division of one polynomial by another one.
Do the division, and see if there is a remainder.
to multiplya polynomial by a monomial,use the distributive property and then combine like terms.
An expression that completely divides a given polynomial without leaving a remainder is called a factor of the polynomial. This means that when the polynomial is divided by the factor, the result is another polynomial with no remainder. Factors of a polynomial can be found by using methods such as long division, synthetic division, or factoring techniques like grouping, GCF (greatest common factor), or special patterns.
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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.