Factoring quadratics as (x+a)(x+b) | Mathematics II | High School Math | Khan Academy



Sal factors x²-3x-10 as (x+2)(x-5) using the sum-product form: (x+a)(x+b)=x²+(a+b)x+a*b.

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20 Comments

  1. Where did the other x go in the ax + bx when you (a+b)x … im guessing since they are times by the same x you only need one but it just doesn’t feel right to lose it without using it or am I misinterpreting this?

  2. Not sure I like the idea of guessing what the numbers are. It doesn't feel right to have something like this where you have to solve an equation by process of elimination….is there no mathematical way to solve these types of questions?
    There may be situations where the numbers aren't single digit numbers….am I supposed to then just brainstorm over what 'a' and 'b' equal? Surely there is a better way to do this. It seems like really bad practice to do things in such a manner.

    It's like in programming when people use Magic Numbers without bothering to explain what they represent….then at some point someone else has to fix a bug but they are going through your code and they come across it and have to spend a stupid amount of time just puzzling over what the value represents. If things aren't properly explained they cost people valuable time.

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