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The answer depends mainly on what you are trying to do. But factoring out the GCF is usually a good idea since it reduces the size of the numbers tat you are dealing with.

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Q: Why does it make sense to factor out the GCF first before using other methods of factoring?
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Related questions

What is the first thing you do when factoring an expression?

Factor out the Greatest Common Factor.


In factoring a trinomial with a leading coefficient other than 1 what is the first step?

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Why is it important to always factor the radicand first when simplifying radicals?

The question is based on the premise that It is not possible to simplify a radical without first factorising it. That is simply not true. Beginners may find it a useful step but that does not make it "important to always factor".Simplifying radicals entails removing square factors of the radicand from under the radical. This can be done without factoring first.


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Well, that depends on what you mean "solve by factoring." For any quadratic equation, it is possible to factor the quadratic, and then the roots can be recovered from the factors. So in the very weak sense that every quadratic can be solved by a method that involves getting the factors and recovering the roots from them, all quadratic equations can be solved by factoring. However, in most cases, the only way of factoring the quadratic in the first place is to first find out what its roots are, and then use the roots to factor the quadratic (any quadratic polynomial can be factored as k(x - r)(x - s), where k is the leading coefficient of the polynomial and r and s are its two roots), in which case trying to recover the roots from the factors is redundant (since you had to know what the roots were to get the factors in the first place). So to really count as solving by factoring, it makes sense to require that the solution method obtains the factors by means that _don't_ require already knowing the roots of the polynomial. And in this sense, most quadratic equations are not solvable through factoring.


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When was JLS's first gig?

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