what is factoring in math

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what is factoring in math What is Factorisation in Mathematics Factorisation of an algebraic expression means writing the given expression as a product of its factors These factors can be numbers variables or an algebraic expression

The process of writing a number or expression as a product is called factoring If we write 60 5 12 we say that the product 5 12 is a factorization of 60 and that 5 and 12 are factors Typically there are many ways to factor a number For example 60 6 10 60 2 30 Factorizationsof60 60 4 3 5 Factoring is writing the algebraic expression as a product of its factors It is the inverse process of multiplying algebraic expressions using the distributive property There are several strategies to factor algebraic expressions Step by step guide Factoring out the GCF Step by step guide How to factor quadratic equations

what is factoring in math

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Factoring Trinomials Polynomials Basic Introduction Algebra YouTube
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Factoring quadratics intro More examples of factoring quadratics as x a x b Google Classroom About Transcript Can t get enough of Sal factoring simple quadratics Here s a handful of examples just for you Created by Sal Khan and CK 12 Foundation Questions Tips Thanks Want to join the conversation Log in Sort by Top Voted 6 1 Introduction to Factoring 6 2 Factoring Trinomials of the Form x bx c 6 3 Factoring Trinomials of the Form ax bx c 6 4 Factoring Special Binomials 6 5 General Guidelines for Factoring Polynomials 6 6 Solving Equations by Factoring 6 7 Applications Involving Quadratic Equations 6 E Review Exercises and Sample Exam

Factoring in the context of algebra usually refers to breaking an expression such as a polynomial down into a product of factors that cannot be reduced further It is the algebraic equivalent to prime factorization where an integer is broken down into a product of prime numbers In mathematics factoring also referred to as factorization involves breaking down a number or mathematical objects if possible into a product of several factors Example 1 Factor 24 24 2 2 2 3 It is also possible to factor other mathematical objects such as polynomials 2 Factor x 2 16 x 2 16 x 4 x 4

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Factoring is the process by which we go about determining what we multiplied to get the given quantity We do this all the time with numbers For instance here are a variety of ways to factor 12 Solving quadratics by factoring Google Classroom Learn how to solve quadratic equations like x 1 x 3 0 and how to use factorization to solve other forms of equations What you should be familiar with before taking this lesson Factoring using the Sum Product pattern Factoring by grouping Factoring special products

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