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The process was to divide, multiply, and subtract.
A very important step in the process of dividing one polynomial by another is subtraction of polynomials. Let’s review the process of subtraction by observing a few examples.
1. Subtract from that is, find
Since is preceded by a minus sign, remove the parentheses, change the sign of each term, then add.
The result is
2. Subtract from
Since is preceded by a minus sign, remove the parentheses, change the sign of each term, then add.
The result is
3. Subtract from
We can write as
Now we’ll observe some examples of dividing one polynomial by another. The process is the same as the process used with whole numbers: divide, multiply, subtract, divide, multiply, subtract,....
The division, multiplication, and subtraction take place one term at a time. The process is concluded when the polynomial remainder is of lesser degree than the polynomial divisor.
Perform the division.
Perform the following divisions.
Perform the following divisions.
For the following problems, perform the divisions.
( [link] ) Find the sum.
( [link] ) When the same number is subtracted from both the numerator and denominator of , the result is . What is the number that is subtracted?
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