anonymous
  • anonymous
Factor the Polynomial: 12x^2-x-6 I got (4x+3)(3x-2) but my graded homework which indicates the answer is right shows (4x-3)(3x+2)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
12x^2-x-6 factors to (4x-3)(3x+2)
anonymous
  • anonymous
the problem is if you you use (4x+3)(3x-2)
anonymous
  • anonymous
if you distribute

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anonymous
  • anonymous
you end up with 12x^2+x-6 not 12x^2-x-6
anonymous
  • anonymous
so it has to be (4x-3)(3x+2)
anonymous
  • anonymous
(a+b)(a-c) and (a-b)(a+c) do not distribute out to the same polynomials.
anonymous
  • anonymous
I am not seeing where the signs change I will list my steps maybe you can point out where i am wrong (12x^2-8x)+(9x-6)---> 4x(3x-2)+3(3x-2)--->(4x+3)(3x-2)
anonymous
  • anonymous
ok redistribute
anonymous
  • anonymous
when i redistribute it is wrong I see that, but even my homework shows the same process up until the final answer.
anonymous
  • anonymous
(4x+3)(3x-2) 12x+x-6
anonymous
  • anonymous
ok the problem is you are reversing the sign
anonymous
  • anonymous
12x+x-6 factors into (4x+3)(3x-2)
anonymous
  • anonymous
not (4x-3)(3x+2)
anonymous
  • anonymous
oops got that backwards
anonymous
  • anonymous
it factors into (4x-3)(3x+2)
anonymous
  • anonymous
(4x+3)(3x-2) would be the factors of 12x^2 + x -6
anonymous
  • anonymous
the difference is the x would be postive with these factors
anonymous
  • anonymous
If I played around with the equation I get: (12x^2+9x)+(-8x-6)-->3x(4x+3)+2(-4x-3) which I am sure is wrong, somewhere I am screwing up with the signs.
anonymous
  • anonymous
give me the full equation?
anonymous
  • anonymous
12x^2-x-6
anonymous
  • anonymous
where is the +(-8x-6) coming from?
anonymous
  • anonymous
I got that from the factors for X (-8,9)
anonymous
  • anonymous
12x^2-x-6 (12x^2-8x)+(9x-6) <--- here is where you screwed up 12x^2+8x-9x-6 4x(3x+2)-3(3x+2) (4x-3)(3x+2)
anonymous
  • anonymous
Reason being, is because it was originally "-x", so you can't have a + term in the middle while you are grouping the terms together. It has to be -, keeping it equal.
anonymous
  • anonymous
you have to have a - term i mean, lol
anonymous
  • anonymous
I see it now! Thank you

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