bry856
  • bry856
what the heck is that formula
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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bry856
  • bry856
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anonymous
  • anonymous
that is quadratic
bry856
  • bry856
how to i rewrite a rational expression into a quadratic one then?

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Elsa213
  • Elsa213
GO NNESHA GO! :D
Nnesha
  • Nnesha
long division or synthetic division which one is easy for you ?
bry856
  • bry856
long division is easier
Nnesha
  • Nnesha
\[\huge\rm qoutient + \frac{ remainder }{ divisor }\] quotient = q(x) remainder = r(x) divisor = b(x)
Nnesha
  • Nnesha
are you sure? leading coefficient of divisor is one so you do synthetic division which is really easy
bry856
  • bry856
x^2 -4x+1 is the solution the the equation in the photo, right?
bry856
  • bry856
oh okay i will do that then
bry856
  • bry856
thank you so much ive been trying to figure out what q(x), r(x), and b(x) stood for forever
Nnesha
  • Nnesha
alright for synthetic division x-3=0 solve for x x=3 write JUST coefficient |dw:1433942314956:dw| carry down first number and then multiply by 3
Nnesha
  • Nnesha
|dw:1433942396062:dw| multiply and then combine like terms -7 +1 = -6 multiply again
Nnesha
  • Nnesha
now try it ^^^
anonymous
  • anonymous
The upper one is a cubic equation, but worry not and be smart about it. Notice that you have to divide the whole thing to (x-3) so there's a good chance 3 is a root for that cubic equation. Checks out it is. Divide the cubic one to (x-3) and you'll get your answer. Alternatively, you can be smart about that too and notice that (x^2-4x+1) is the only thing that makes sense since it's the only quadratic form (which you'd expect to have if you divide a cubic equation to a linear one) that "allows" for that -3 at the cubic equation to be formed. The other quadratic (the one with +13) when multiplied with (x-3) will give you something with -39 at the end so that's no good.
anonymous
  • anonymous
So you can conclude that it divides evenly and that your answer is q=(x^2-4x+1) r=0 b=*could be just about anything but for the sake of math* x-3

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