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Mathematics 23 Online
OpenStudy (anonymous):

help with factoring???!?!!

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Here's the question: Determine the missing factor.. 1. \[x ^{2} + 9x + 14 = (x+2) (?) \]

OpenStudy (anonymous):

and explain how you get your answer!! the answer is supposed to be (x+7)

OpenStudy (anonymous):

Hi, do you know your quadratic equation?

OpenStudy (anonymous):

what do you mean ?... :P that's all the question says.

OpenStudy (anonymous):

Hmm.. If you have not learned the quadratic equation yet, let's try the box method.

OpenStudy (anonymous):

http://www.purplemath.com/modules/solvquad3.htm

OpenStudy (anonymous):

I am sorry I am running out of time, but I will try to come back in a couple of minutes.

OpenStudy (anonymous):

I can guide you through the process easily.

OpenStudy (anonymous):

okay, thanks! i'll wait :)

OpenStudy (anonymous):

x^2 +9x+14=(x+2)(?) So for this problem let's just look at this portion first: (x+2)(x+?) Let's ignore the x's and call 2 a, and ? b. What we want to know here is b. Here are some clues that can help you. Added together, A+B = 9. Multiplied together, A*B = 14. Can you tell me what numbers I am look for?

OpenStudy (anonymous):

2 and 7? :P

OpenStudy (anonymous):

so it's (x +2) (x + 7) ?

OpenStudy (anonymous):

That is right on! Yes, remember that the a and b have to ADD to the middle term, the bx in the equation. And a and b have to MULTIPLY to the end term or the constant.

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