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Bring down the 2, multiply it by the divisor(-2), place the -4 below the 7, and add. Multiply the 3 by the -2, place the -6 below the 10, and add. The remainder ...
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ସ ௫ାଶ
THE BINOMIAL EXPANSION This handout shows how to write and apply the formula for the expansion of expressions of the form ሺ ݔ ݕሻ ^ where ݊ is any positive integer. In order to write the formula, we must generalize the information in the following chart: ሺ ݔ ݕሻଵ^ ൌ ݕ ݔ ሺ ݔ ݕሻ ଶ^ ൌ ݔ ଶ^ ݕ ݕݔ2 ଶ ሺ ݔ ݕሻ ଷ^ ൌ ݔ ଷ^ ݔ3 ଶ^ ݕݔ3 ݕ ଶ^ ݕ ଷ ሺ ݔ ݕሻ ସ^ ൌ ݔ ସ^ ݔ4 ଷ^ ݔ6 ݕ ଶ^ ݕ ଶ^ ݕݔ4 ଷ^ ݕ ସ ሺ ݔ ݕሻ ହ^ ݔ ൌ ହ^ ݔ5 ସ^ ݕ 10ݔ ଷ^ ݕ ଶ^ 10ݔ ଶ^ ݕ ଷ^ ݕݔ5 ସ^ ݕ ହ Note: The polynomials to the right have been found by expanding the binomials on the left, we just haven’t shown the work. There are a number of similarities to notice among the polynomials on the right. Here is a list of them: