Algebraic division has the same algorithm, procedure, as regular division.
|1st:||Use a blank rectangular sheet of paper to
separate the storage region from the display area and to create a border for the rectangular area.|
|2nd:||Represent the divisor
vertically in storage on the left edge of the display area.|
||Represent the dividend in the display area in descending order beginning with the upper
|4th:||Arrange, if possible, the
dividend in IDENTICAL rows in the display area. Matching one row per vertical divisor tile leaves remainders extra in
the storage area.|
|5th:||Once a single rectangular arrangement of tiles (extra
remainder tiles excluded) is created, represent the appropriate quotient horizontally in the storage area as
dictated by the dividend.|
|6th: ||If a
single rectangular arrangement of tiles is not possible, add zeros as needed to fill the required area.|
|7th:||Read the quotient and the remainder.|
The work and answer for each of these problems is shown below and individually
through the arrow.
|ex. 1. ||Divide 4x-12 by 4.
||ex. 5. ||Divide (x² - 4x + 3) / (x-1)
|ex. 2. ||Divide (x²+x) ÷ x
||ex. 6. ||Divide x² - x - 6 by x-3.
|ex. 3. ||Divide (2x³+6x²-2x+1) / (2x)
||ex. 7.||Divide x² + 7x - 11 by x-5.
|ex. 4.||Divide (x² + 4x + 3) / (x+3)
www.termtiles.com, Unit 18 © 2008, A. Azzolino