anonymous
  • anonymous
Determine the factors of x2 − 8x − 12. (x − 6)(x + 2) (x + 3)(x − 4) Prime (x + 6)(x − 2)
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Find two numbers that multiply to make your constant and add to make the coefficient of x
anonymous
  • anonymous
i think is is C
anonymous
  • anonymous
actually... none of those options seem to work... unless I dont know what im talking about anymore..

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More answers

hartnn
  • hartnn
it does not have integral factors
hartnn
  • hartnn
because b^2 -4ac is not a perfect square
anonymous
  • anonymous
/;gt\
hartnn
  • hartnn
you can safely choose prime here....but it has irrational factors
Jamierox4ev3r
  • Jamierox4ev3r
so just for this question because of multiple choice, it would be prime, but it does have irrational factors..ha i should have known
Jamierox4ev3r
  • Jamierox4ev3r
now wonder i was confused okay :P
hartnn
  • hartnn
x = 8 +/- sqrt (108) /2
hartnn
  • hartnn
when b^2-4ac is perfect square ----> integer roots b^2-4ac is positive ----->real roots b^2 -4ac is negative ---->imaginary roots --->prime
hartnn
  • hartnn
here, if domain of x is integer, only then we can consider it as prime
Jamierox4ev3r
  • Jamierox4ev3r
ahh okay then :)
Jamierox4ev3r
  • Jamierox4ev3r
very thorough explanation
hartnn
  • hartnn
) thanks! i hope harlie got it ...
DebbieG
  • DebbieG
Actually, I think the definition of a "prime polynomial" is when it cannot be factored into the product of two polynomials, using integer values. It doesn't mean that it "can't be written as a product" because any trinomial can, with rational, irrational or complex roots. :)
anonymous
  • anonymous
Nnope i still dont get it
hartnn
  • hartnn
which part ?
anonymous
  • anonymous
the one u said
hartnn
  • hartnn
you know what are a,b, c ?
anonymous
  • anonymous
is the answer A
DebbieG
  • DebbieG
Did you check A by doing the FOIL multiplication, to see if you get back the original polynomial?
DebbieG
  • DebbieG
You can check each answer by multiplying (one of the shortcomings of this kind of questions being multiple choice, since that doesn't teach you a darn thing about how to factor the polynomial). But as @hartnn points out, the RIGOROUS way to show that it does not factor is to calculate the discriminant. He told you above what that tells you about the roots (and hence, the ability to factor).
anonymous
  • anonymous
I am not sure its because i only have 3 days to finish what i am doing so i need to know what is the answer
DebbieG
  • DebbieG
Do you know how to FOIL multiply?
DebbieG
  • DebbieG
(x − 6)(x + 2) = ???
anonymous
  • anonymous
x2 − 8x − 12.
DebbieG
  • DebbieG
How did you get that? show me each of F-O-I-L steps.
DebbieG
  • DebbieG
Meaning, show all 4 terms.
anonymous
  • anonymous
i didn't i just guessed
DebbieG
  • DebbieG
Well, therein lies the problem. :) You aren't supposed to guess. Clearly, whatever the class is that you're in, this is material that you are expected to know. So if you don't learn how to do it, you will only get more and more behind. FOIL mutliplication, remember this? |dw:1377687867910:dw|
DebbieG
  • DebbieG
So you get (x)(x) + 2(x)-6(x) -6(2)
anonymous
  • anonymous
is it B
DebbieG
  • DebbieG
Did you FOIL b to see if you get back to the original polynomial?
DebbieG
  • DebbieG
(x + 3)(x − 4) = ?
anonymous
  • anonymous
idk
DebbieG
  • DebbieG
Did you look at my example above on how to FOIL? (x + 3)(x − 4) = x(x) -4(x) +3(x) -4(3) = ??
DebbieG
  • DebbieG
If you don't remember how to FOIL multiply, then you really need to review that before you go any further. You are not prepared to do factoring problems, if you don't understand multiplying first.
anonymous
  • anonymous
i know how to use the FOIL METHOD
DebbieG
  • DebbieG
You can review it here: http://www.coolmath.com/algebra/03-polynomials/06-polynomials-multiplying-foil-01.htm
DebbieG
  • DebbieG
Ok, that's good. Then why, when I asked: (x + 3)(x − 4) = ? Did you say "IDK"? Just FOIL it. :)
anonymous
  • anonymous
x2 − 8x − 12.
DebbieG
  • DebbieG
No. Your middle term is wrong.
DebbieG
  • DebbieG
(x + 3)(x − 4) = x(x) -4(x) +3(x) -4(3) = ?? -4(x) +3(x)\(\neq\)-8x
anonymous
  • anonymous
so it the last one
DebbieG
  • DebbieG
Did you FOIL (x + 6)(x − 2) to check?
DebbieG
  • DebbieG
(x + 6)(x − 2) = ??
DebbieG
  • DebbieG
You need to know how to FOIL. IT'S IMPORTANT and if you don't, you will only be more and more lost when you get to the next topic. It's clear from the fact that you are being asked this problem that you are expected to know how to FOIL two binomials, and then how to factor ("un-FOIL") a trinomial. You can get this assignment turned in with every problem correct, but if you don't understand these basic concepts, you'll just be back here even more lost when you have to reduce a rational expression or find its domain, because you don't understand factoring a trinomial.
anonymous
  • anonymous
The answer prime
DebbieG
  • DebbieG
Well, if you've checked the other 3 by correctly FOIL'ing them, and none of them work, then that would be all that's left.

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