Long Division of Polynomials
In the long division of polynomials, observe the degree of dividend and the divisor and write the quotient in such a manner that the product of the quotient and divisor is the term equal to the first term of the dividend. The Long Division of Polynomial Let’s understand this in steps.
How to do Polynomial Long Division?
We can use the following steps to perform long division between polynomials:
Step 1: Arrange the indices of a polynomial in descending order i.e., variables with higher exponents are arranged first followed by variables with lower exponents. Replace missing terms with 0 as coefficient. Example: 3x2+0x+1, 4x3+3x2+x-4
Step 2: Divide the first term of the dividend by the first term in the divisor which gives the first term of the quotient.
Step 3: Perform multiplication between the divisor and the first term of the quotient.
Step 4: Subtract the result obtained in step-3 from the dividend and bring down the next term. This will be our new dividend.
Step 5: Repeat step-2 to step-4 to find the next term of the quotient.
This process is continued until we get the remainder. This may be zero or index less than the divisor.
Example of Polynomial Long Division
The above-mentioned steps of the Polynomial Long Division can be better understood with the help of an example.
Example: Divide 4x3 + 3x2 + x – 4 by x -2
Long Division Method
Long Division is a technique of dividing numbers, algebraic expressions, and decimals stepwise and sequentially. In this technique the number which is to be divided is called Dividend, the number which divides is called Divisor, the number which we get as a result of division is called a Quotient, and the number which is left as extra on dividing is called Remainder.
In this article, we will learn in detail about the long division method, the components of the long division method, the Division Algorithm, the division of numbers, decimals, and algebraic expression.
Table of Content
- What is Long Division Method?
- Components of Long Division Method
- How to do Long Division?
- Calculate Long Division of Numbers
- Long Division by 2-Digit Number
- Long Division of Polynomials
- Long Division with Decimal
- Division of Decimals by a Whole Number
- Dividing a Number to Decimal Places
- Long Division Application
- Division by Repeated Subtraction
- Division Algorithm
- Long Division Problems
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