Gone Posted July 15, 2014 Share Posted July 15, 2014 Well I am stuck on this math problem, and I have a feeling it is incomplete (and I don't understand it). People here seem to be very smart so I'll ask (Not for the answer but how to perform it): You divide the polynomial f(x) by (x ? 2) and obtain a remainder of 8. What is f(2)? From my book: If a polynomial f(x) is divided by x-k, then the remainder is r=f(k) So the only think I have right now: 8=f(2) Link to comment Share on other sites More sharing options...
Gone Posted July 16, 2014 Author Share Posted July 16, 2014 *bump* Link to comment Share on other sites More sharing options...
lamminium Posted July 16, 2014 Share Posted July 16, 2014 Correct. To further explain the concept in simple terms: Divide number 15 by 7, the answer is 2 with remainder 1. The number can, thus, be written as 15 = 7 * 2 +1 Similarly, a polynomial P(x), when divided by (x - 2), gives a polynomial Q(x) and a remainder of 8. Hence, P(x) = Q(x) * (x-2) + 8 Substituting x = 2 into the above, we have P(2) = Q(2) * (2 - 2) + 8 = Q(2) * 0 + 8 = 8. This illustrates how the remainder theorem works. Gone and Draconian Guppy 2 Share Link to comment Share on other sites More sharing options...
Gone Posted July 17, 2014 Author Share Posted July 17, 2014 Thank you!! I understand better now! Link to comment Share on other sites More sharing options...
Gerowen Posted July 21, 2014 Share Posted July 21, 2014 I'm glad somebody understands that stuff, lol. Whenever I see calculus, the only answer I can think of is 42. I can build a porch, a chicken house, a people house to code, I can figure out how many square feet of carpeting I need to cover a room, or how much lumber I need to build that room. I can load my flatbed trailer so that 60% of the weight is on the tongue, keeping the drive tires of the truck from being lifted up on, but not so much weight that I go over the tongue weight limit, and I can even re-build the engine on my pickup truck, but whenever I see stuff like that, my brain just goes DEEEEEERRRRRP! Draconian Guppy 1 Share Link to comment Share on other sites More sharing options...
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