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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Q: How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school?

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Your dividing with variables now.

factor

A binomial and possibly a fraction.

Naming things by successively dividing them into groups of two.

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.

Dividing by decimal is different from dividing by whole number as you have to multiply by a number to remove the decimal.

When dividing numbers that are different the answer will be negative.

multiply means multying it or increasing dividing means decreasing

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its false

Yes, if there is no remainder after division, the divisor is a factor.

dividing

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.

True.

The sum of the exterior angles of a polygon is 360o. Dividing 360o by the size of the exterior angle gives the number of sides. If the interior angle is 144o, the exterior angle is 180o - 144o = 36o. Number of sides = 360o / 36o = 10 (a decagon).

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Dividing all terms by 4 gives: x2-x-30 = (x-6)(x+5) when factored

An average is found by adding all the relevant numbers together, and then dividing by the number of numbers added. This is a concept learned in elementary school.

Yes.

for dividing voltages, (obtaining different values of voltage)

different borders were drawn.

They are different terms for the same thing. Call them factors when you're multiplying and divisors when you're dividing. So it is just like dividing

Separation is a process of dividing different materials; the word is of Latin origin.

Separation is a process of dividing different materials; the word is of Latin origin.

The result in such cases is always negative.