##### Factor complectly x^2-14x+40

label Algebra
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how do u factor this

May 19th, 2015

Hey again!

This is going to be a little tricky to explain online, but here it goes.

The final answer will be in the form of (x +/- ?)*(x +/- ?)

We're looking for two numbers that add up to -14 (the middle coefficient), and multiply together to get 40 (first coefficient multiplied by third coefficient).  So here's a way to look at it:

(x+a)(x+b)

a+b=-14

a*b=40

The two numbers can be:

a=-4

b=-10

Answer: (x-4)(x-10)

If you have trouble thinking of these two numbers (-4 and -10), it can help by thinking of the two numbers multiplied together to get 40:

2*20=40

4*10=40

5*8=40

From these values, find the ones that could add or subtract to get a value of 14.

Let me know if you have any questions and I'll be happy to clarify anything.  You may have learned a different way to solve this in class.

May 19th, 2015

Wow UK what ur doing bro so I just have one quick question to ask u will it always be like smpeotive plus a postitive or could it be a positive plus a negative too?

May 19th, 2015

haha I've been doing this for a lot of years.  It can be a positive plus negative too, just as long as the numbers add up correctly and multiply together correctly.  I think an example would be: x^2 - x - 6......(x+2)(x-3).. Is that what you're referring to?

May 19th, 2015

Hah yeah I could see ur very good at it and yes that's,What I was asking to very much  sorry I fell sleep last night my bad

May 19th, 2015

Well thank you!  No worries man, good luck with everything and just message me if you need help with anything else!

May 19th, 2015

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May 19th, 2015
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May 19th, 2015
Oct 17th, 2017
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