Rumor has it that the polynomial was invented by an insane math teacher, who created the polynomial as part of his mad quest for a math formula that was utterly indivisible. Had he succeeded, the world might be a poorer place. Learning how to divide polynomials is pretty easy once you get the handle on a couple of basic concepts. Check them out in action on the following polynomial division problem: x^2 + 13x + 42 divided by x + 7 Note: The "^" symbol means that the following number is an exponent.
Write down the expressions involved, and name them for easy reference. The polynomial expression that you are trying to divide corresponds to the numerator of a fraction, which is the top number of a fraction. The expression you are using to divide the numerator corresponds to the denominator of a fraction, which is the bottom number of the fraction.
Cancel out the first factor in the polynomial equation you are trying to divide. In the example, to cancel out the x^2 in the numerator you need to multiply the entire denominator by x. This gives you x^2 + 7x. Subtract this from the numerator to cancel out the first factor. In the example, the x^2 is cancelled out, and the 13x is reduced to 6x. The 42 is unchanged, leaving a total remainder of 6x + 42.
Cancel out the next remaining factor in the numerator. In the example, multiplying the denominator by six results in 6x + 42. When this is subtracted from the remainder, this results in zero.
Continue in a similar manner until you have cancelled out all of the factors in the polynomial.
Add up the factors you used to cancel out the factors of the polynomial. In the example, you used x and positive six, making the answer to this problem x + 6.