Steps for Factoring Polynomials  – How to Factorise

For factorizing any polynomial, we need to follow three steps as follows:

  • Firstly, factor out the common factor of all the terms of the given polynomial.
  • Secondly, choose the best technique for factoring polynomials.
  • And last, write all the factors as the product, as it gives the provided 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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What is Factoring Polynomials?

The process by which we find the constituent factors of a higher-degree polynomial is called factoring polynomials....

Steps for Factoring Polynomials  – How to Factorise

For factorizing any polynomial, we need to follow three steps as follows:...

Techniques for Factoring Polynomials

Common Factors...

Algebraic Identities

There are numerous Algebraic Identities that can be used to factorize different kinds and forms of polynomials. The following are some of the most commonly used identities:...

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....

Factor Theorem

Factor Theorem states that for any polynomial f(x) = 0,  x – a is the factor of f(x) if and only if x = a is the zero of the polynomial....

Reminder Theorem

Remainder Theorem states that if x-a is the factor of a polynomial f(x)=0 then f(a) is the reminder of the polynomial when divided by x-a....

Factoring Polynomials Examples

Example 1: Factorize 7x2 – 21x....

Factoring Polynomials Worksheet

1. Factor the polynomial x2 – 9...

FAQs on Factoring Polynomials

What is factoring a polynomial?...

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