anonymous
  • anonymous
Can someone show me how to work this out? 32x^3-28x^2-87x-27 divide by 8x+3
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Are you studying long division?
anonymous
  • anonymous
Do you know synthetic division?
anonymous
  • anonymous
yes, long division, factoring polynomials

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anonymous
  • anonymous
Just a minute
anonymous
  • anonymous
How many times does 8x go into 32x^3 or you can ask yourself what is 32x^3 divided by 8x?
anonymous
  • anonymous
would it be 4x^3, but how do if figure out the rest -28x^2-87x-27?
anonymous
  • anonymous
It would be 4x^2 because you already have 1 of the x's with the 8x 8x(4x^2) = 32x^3 This is a long process... so... put 4x^2 above the 32x^3 and multiply 4x^2 (8x+3) and put that under the polynomial
anonymous
  • anonymous
4x^2 ------------------------ 8x + 3 | 32x^3 - 28x^2 - 87x - 27 32x^3 + 12x^2
anonymous
  • anonymous
Now draw a line under the bottom part, change the signs 32x^3 + 12x^2 becomes -32x^3 - 12x^2 and then add. you should end up with -40x^2
anonymous
  • anonymous
oh ok, it is easier to "see" this way..thank you
anonymous
  • anonymous
4x^2 ------------------------ 8x + 3 | 32x^3 - 28x^2 - 87x - 27 -32x^3 - 12x^2 -------------- -40x^2 = 87x then you ask yourself 8x times what is -40x^2 and put that above the -28x^2 and repeat the process
radar
  • radar
India, have you figured out what to multiply 8x to get -40x^2? Don't give up.
anonymous
  • anonymous
Sorry that is a - 87 not an = 87x
radar
  • radar
That polynomial will factor to 3 binomials.
radar
  • radar
Earth to India, have you quit?
radar
  • radar
(4x-9)(x+1)(8x+3)
radar
  • radar
You need to practice the long division method.
anonymous
  • anonymous
Thank you, I understood blexting explained it. Thanks again
radar
  • radar
Oh O.K. I thought you might of got stuck on the 8x times ? =40x^2. Good to hear you crossed that hurdle. Good luck

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