I understand some of it, and i know what the answer is, but i dont really understand the process | Mathematics | Page 1

crystal vigilBOT Nov 20, 2024, 4:41 AM

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errant raven Nov 20, 2024, 4:41 AM

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i know the polynomial would be f(x)=(x-1)(x-3)(x-5)(x-7)+x

dull dagger Nov 20, 2024, 6:10 AM

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You mean you don't understand why that's the polynomial?

errant raven Nov 21, 2024, 2:57 AM

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no

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why would the answer be 6

dull dagger Nov 21, 2024, 3:04 AM

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You can plug in 6 and see what happens. Why do you think it's 6?

errant raven Nov 23, 2024, 12:09 AM

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I just created a polynomial with roots at x=1,3,5,7 (the first term) and then added a term to get the specified values which is just x
Now test some values to see more or less what gets you around 2024, note that 10^4 is way too big so I started with x-1=5 and it was bigger , and then. x-1=4 and the result was smaller, so x=6 works

dull dagger Nov 23, 2024, 3:23 AM

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I'm confused. When you plug in x=6, you get
f(6) = (5)(3)(1)(-1) + 6
= -15+6
= -9, which is not larger than 2024

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What am I missing?

errant raven Nov 25, 2024, 3:40 AM

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yeah

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idk

dull dagger Nov 25, 2024, 3:54 AM

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So 6 is not a solution, and you know that 7 is not a solution, so check 8 (and maybe 9) and you'll have your answer.

#I understand some of it, and i know what the answer is, but i dont really understand the process