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Factoring?
I really need help. I don't
understand factoring at
all...can someone please
explain to me how to do it.
One of the problems I need to
factor is y^2 + 5y - 6
THANKS
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To understand factoring, it helps to understand multiplying polynomials. If you multiply (x) (x+2), you will get (x^2+2x). Make sure you understand this: x times x gives you the result x squared. 2 times x gives you 2 x. You should also understand that one of the properties of multiplication is that multiplication is distributive over addition. Take the time to understand this: if you have a problem (6) (3+1), you can rewrite it and rework it as (6 times 3) +(6 times 1). (6) (4) = 24 and (18) + (6) = 24. Know this and feel comfortable with it because factoring is just the reverse of this - you're just undoing this operation. Practice it - there are text books with tons of examples. The problem you gave to factor is: y^2+5y-6. You know that the first term (terms are separated by plus or minus signs) is y^2. What times y gives you y squared? y itself. So you know you are going to have a least two factors - start building the factors now. The first term of each is going to be y. That's because you are going to multiply the first terms together and they are going to give you y^2. (y..........) (y.............) Now look at the last term in your problem expression: it is -6. It is also going to be the result of multiplying two things together so make a list of all the things that when multiplied together, give you -6. Since -6 can only be produced by multiplying a negative and a positive to produce a negative, keep that in mind while you make your list. The list of possibilities: -3 2 -2 3 6 -1 1 -6 That pretty much exhausts the list of numbers that multiplied together produce -6. Look at the list: which pair, WHEN ADDED TOGETHER, give you the middle term of your problem expression? 6 and -1. Only one pair is going to work and that one is it. 6-1=5 and your middle term is 5y. So now modify what you have been building (which are factors of your expression). (y+6) (y-1) These are your factors. You are done factoring. It's done. You have to be able to multiply these two factors out to get your original problem expression and you should always do it to make sure they are correct. The FOIL method is usually used. F is first terms, O is outer terms, I is inner terms, L is last terms. You systematically multiply terms (given that order; it's just a memory trick to guide you through..). After you multiply your terms out, you add them up and it gives you your original problem expression. (y+6) (y-1) F (first) y * y = Y^2 O (outer) y * -1 = -1y I (inner) 6 * y = 6y L (last) 6 * -1 =-6 Add the products together Y^2 -1y +6y -6 Add the 6y and -1y and you get 5y. Put this in descending order from the highest power and you get y^2+5y-6. That's your original expression and you factored it. Sounds like a lot of work but if it's not really. If you sit down and work 25 of these problems, you will feel more comfortable with it. After you've worked 50, you will be able to do them (create 2 factors from one expression) in your head. |
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Can I use a factoring company I am interested in purchasing
a profitable online business
but I do not have the
available funds to do it at
the moment. So i'd like to
know if a factoring company
would be able to help me out.
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You are talking about buying a business based upon its receiveables. Borrowing against the receivables to finance the business. I highly doubt it. Keep in mind factoring is going to be like getting 70% of the value of the invoice.It might be possible, call a factoring company, be prepared to have a resume that shows why you can run this company. Good Luck |
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How would I solve this How would I solve this
equation using factoring, and
how would I show my work?
Thank you so much!
The area of a rectangle is 24
square meters. Find the length
and width of the rectangle if
its length is 2 meters greater
than its width. Use an
equation and the formula
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I made this equation to help you: w=width *w(2+w)=24 that would mean... *w^2 + 2w =24 from there I just guessed and found the answer to be 4 |
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