What is Factoring Polynomials?
The process by which we find the constituent factors of a higher-degree polynomial is called factoring polynomials.
For example, by multiplying x+2 and x -1 we get x2+x-2, where x + 2 and x -1 are the factors of the expression x2+x-2.
Thus, finding these factors from a given expression is called Factoring of Polynomial.
By the fundamental theorem of algebra, we know that any polynomial of degree n has n roots, either real or complex. Thus, it also has n factors as well. as every unique root gives a unique factor to the provided expression.
Read: Zeroes of a Polynomial
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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