The purpose of factoring such functions is to then be able to solve equations of polynomials. For example, the solution to x^2 + 5x + 4 = 0 are the roots of x^2 + 5x + 4, namely, 1 and 4. Being able to find the roots of such polynomials is basic to solving problems in science classes in the following 2 to 3 years.
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Why do we factor trinomials? – Popularly Asked Questions

What is the importance of factoring Trinomials?
Factoring is an important process that helps us understand more about our equations. Through factoring, we rewrite our polynomials in a simpler form, and when we apply the principles of factoring to equations, we yield a lot of useful information 
What’s the purpose of factoring?
Factoring is a common mathematical process used to break down the factors, or numbers, that multiply together to form another number. Some numbers have multiple factors 
What is the point of factoring equations?
Factorising is the reverse of expanding brackets, so it is, for example, putting 2x² + x – 3 into the form (2x + 3)(x – 1). This is an important way of solving quadratic equations. The first step of factorising an expression is to ‘take out’ any common factors which the terms have. 
What is the goal of factoring quadratic Trinomials?
We learned that a quadratic trinomial is a quadratic expression with all three terms in the form of ax^2 + bx + c, where a, b, and c are numbers and not a 0. The method of factoring involves finding what multiplies together to get our quadratic. You will end up with two pairs of parentheses when you are done factoring 
Where can we use factoring polynomials in real life?
It is used in asset (stock) valuation. It is used in bond trading and mortgage calculations. The polynomial is of high order, for example, with an interest term with exponent 360 for a 30year mortgage. This is not a formula that can be factored. 
Why are factors and multiples important?
Abstract. Factors and multiples are important aspects of mathematical structure that support the understanding of a range of other ideas including multiplication and division, and later on, factorization. 
Part of a video titled Factoring Trinomials The Easy Fast Way – YouTube
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How do you use factoring in real life?
Dividing Something EquallyA key time you use factoring is when you must divide something into equal pieces. For example, if 6 people worked together to make brownies, and the pan of brownies yields 24 brownies, it would only be fair if everyone received the same number of brownies.

What jobs use factoring polynomials?
Aerospace engineers, chemical engineers, civil engineers, electrical engineers, environmental engineers, mechanical engineers and industrial engineers all need strong math skills. Their jobs require them to make calculations using polynomial expressions and operations. 
Why do we learn factors and multiples?
We are surrounded by numbers in each & every sphere of our life. Factors & multiples are also commonly used in our everyday lives. We use factors when we want to arrange things in different ways. For example, arranging books in rows & columns, making groups of children in different ways etc. 
Part of a video titled How to identify when a trinomial is not factorable – YouTube
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How do you know if a trinomial is Factorable?
In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials. 
What happens if you cant factor a trinomial?
So, if you can’t factor the polynomial then you won’t be able to even start the problem let alone finish it. Let’s start out by talking a little bit about just what factoring is. 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. 
What is the rule for factoring trinomials?
If all terms of the trinomial are positive, then all terms of the binomials will be positive. If the last term of the trinomial is negative but the middle term and the first term are positive, then one term of the binomial will be negative and the other will be positive. 
Part of a video titled Factoring Trinomials – Quick & Simple – YouTube
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Understanding Algebra: Why do we factor equations?
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 Summary: Starter Guide to Factoring Quadratics & PolynomialsThroughout Algebra 1 and 2, one of the key concepts you’ll learn is how to factor polynomials including but not limited to quadratics. Factoring is an important process that helps us understand more about our equations. Through factoring, we rewrite our polynomials in a simpler form, and when we apply the principles of factoring to equations,…
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Why do you factor quadratic equations? + Example – Socratic
 Summary: Why do you factor quadratic equations? + ExampleOne of the properties of #0# is that : “Anything multiplied by #0# is equal to #0#” So, if we have an equation where: #a xx b xx cxx d xx e =0#, then because of the multiplication property of #0#, we will know that at least one of the factors being multiplied must be equal to #0#….
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Factoring Quadratics – Math is Fun
 Summary: Factoring Quadratics A Quadratic Equation in Standard Form (a, b, and c can have any value, except that a can’t be 0.) “Factoring” (or “Factorising” in the UK) a Quadratic is: finding what to multiply to get the Quadratic It is called “Factoring” because we find the factors (a factor is something we multiply by) Example: (x+4) and (x−1) are…
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Factoring Trinomials The Easy Fast Way
How to Factor a Trinomial in 3 Easy Steps – Mashup Math
 Summary: How to Factor a Trinomial in 3 Easy Steps — Mashup Math Learning how to factor a trinomial is an extremely important and useful algebra skill, but factoring trinomials can also be very tricky.This free How to Factor a Trinomial stepbystep guide will teach you how to factor a trinomial when a=1 and when a does a does not equal one (more on…
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Factoring quadratics in any form (article) – Khan Academy
 Summary: Factoring quadratics in any form (article)  Khan Academy If you’re seeing this message, it means we’re having trouble loading external resources on our website. If you’re behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
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