Long Division Method
Long Division is a method for dividing polynomials similar to numbers, where a higher-degree polynomial can be divided by the lower-degree polynomial to find the quotient and remainder. Using long division and the factor and remainder theorem together, we can factorize any polynomial with an integer coefficient easily.
For example, Long division of x3-5x2+9x-5 by x -1 is shown in the following illustration.
Factoring Polynomials
Factoring Polynomials: A basic algebraic concept called factoring polynomials involves breaking down a polynomial equation into simpler parts. Factoring can be used to solve equations, simplify complicated expressions, and locate the roots or zeros of polynomial functions.
In several fields of mathematics, including engineering, physics, and computer science, the ability to factor is a crucial skill. Finding the common factors, or roots, of the equation and breaking them down into a set of simpler expressions are the general steps involved in factoring a polynomial.
In this article, we have provided details about factoring polynomials, steps to factorize polynomials, with solved examples and practice problems on it.
Table of Content
- What is Factoring Polynomials?
- Steps for Factoring Polynomials – How to Factorise
- Techniques for Factoring Polynomials
- Algebraic Identities
- Long Division Method
- Factor Theorem
- Reminder Theorem
- Factoring Polynomials Examples
- Factoring Polynomials Worksheet
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