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I just learned synthetic division of polynomials and was wondering what allows it to work? Why does it work?N An example of a problem would be $(4b^3+27b^2-15b-52)/(b+7)$ You write the -7 in the corner, line up the coefficients Drop down the first # Multiply it by the -7 add it to the second number and repeat:

    1. -15. -52

-28. 7. 56

  1. -1. -8. 4

Therefore the quotient would be $4b^2-b-8+(4/b+7)$ Why does this work?

JonnyBoi
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    If you want to understand synthetic division, try doing a problem two different ways. First use polynomial long division, then, right next to it, do the same problem with synthetic division. See if you can figure out why a lot of the numbers you see are the same. – D Wiggles Apr 18 '17 at 03:50
  • Ah. I see. I can't believe I didn't see that before. I'm just an idiot – JonnyBoi Apr 18 '17 at 03:53
  • We're all here to learn. – D Wiggles Apr 18 '17 at 03:58
  • I just had like a brain fart. Thank you for helping me. – JonnyBoi Apr 18 '17 at 04:00

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