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How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school?
Polynomial division is actually quite similar to the method of long division that I was taught back in elementary school. Instead of simply using numbers as we did back then, there are variables to deal with as well. However, the process is effectively the same. We go through the problem term by term, just like in numerical long division.
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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.
How are multiplying and dividing different?
multiply means multying it or increasing dividing means decreasing
How is dividing decimals different than dividing whole numbers?
in dividing decimals you never get a remainder and in dividing whole numbers you do. +++ More to the point perhaps, you are working in powers of 10 all the time.
Why does dividing 5 by a decimal less than 1 give a quotient greater than 5?
5 x 0.2 = 25 Or to put it a different way 25 / 0.2 = 5 Dividing something by a number greater than 1 gives you a smaller number Dividing something by 1 gives the same number Dividing something a number smaller than 1 gives you a larger number
Is taking ½ of a number is the same as dividing by ½?
No, taking ½ of a number is the same as dividing it by 2. Dividing a number by ½ is the same as multiplying it by 2.
