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Step 1, let 8x = 10x - 2x
okay then how would you rewright it in the appropriate method
In other words, replace 8x with 10x - 2x so that you have 4x^2 + 10x - 2x -5
okay I see so what method would I use to solve this appropriately
Basically, at this point you can factor by grouping. So I guess that's what you wanted to know right?
yeah and now would I factor by grouping with this problem
You take the expression 4x^2 + 10x - 2x -5 and do the following: 1. Factor the first two terms 2, Factor the last two terms 3. Factor out what is common to both factorizations. Let me know what you get afterwards.
Congratulations, you did it!
thank you but my last question is why is this method the one to use
There are a few reasons why: 1. It's algorithmic, meaning it can work with any factorable quadratic expression. 2. It's an application of the distributive property. 3. It's a better method to learn and teach than the mental method.
thank you so much