Finding the order of a polynomial that contains several points.

So how to do this, form simultaneous equations and elminate?

My teacher said potentially use the Newtons divided diffrence method..

Mind giving an example? Have you looked up Lagrange interpolation?

heard of lagrange multipliers.

So for this:

Suppose you know the following points (x,f(x)):
(-2,85)
(-1,-8)
(1,-20)
(3,40)
(4,307)There is some polynomial,
f(x) = ax⁴ + bx³ + cx² + dx + e
You would plug and chug values in to work out a,b,c,d,e right.

I ahve got the answer to that doing simultaneous.

But I would like to know if given say six points, how am I supposed to know what degree the polynomial should be etc.

Thanks..

Look up Lagrange interpolation. If you have n points, then the polynomial is of degree (n-1).

Look up Lagrange interpolation. If you have n points, then the polynomial is of degree (n-1).

wow this is interesting and it works, but takes way too long lmao.

Better than n simultaneous equations in n variables...

Oops sorry Mihael I forgot about your pm which I read in the morning. That honestly looks insane tho to me. I cannot see them asking you that in SATII

The tests are so easy compared to Barron's

Ah thnx, that is reassuring tbh.

Can I just ask is it worth buying the official collegeboard guides for past papers?

Lmao they havent changes sat 2 syallbus for at least 8 years lmfao

Yeah they're really getting complacent :P

Nah I would stick to Barron's because if you do Collegeboard it will seem like piss and you might start to lose momentum. What are you getting atm if you don't mind? And are you doing the May one?

Hahahaha.

Good advice, this boy in my class did phy too and got 800. He said he barely revised lmao.

tbh not really focusing a lot on sat2s, usually just do the topic area as I am covering the a level one. But 680 on phy so far. Maths is 800 but gets wrecked when I do chungs papers. They are profoundly difficult lmao.

Yeah will probably do then the a levels start!

You're finished with the whole rigmarole right?

Yeah that's definitely possible! Although it's annoying how we have to learn the A2 components early :/

Dw about the non collegeboard ones - some are much, much more difficult. As I always used to say to my friends, if you can hit 750 in Barrons once in a practice, I guarantee you'll get 800 on the day. Physics is getting there

Ahh I did that last year ^^ Don't worry if anyone asks you "but how will you revise for A levels?". May sitting last year was much closer to AS levels but I didn't feel any pressure for revision of AL due to revising for SAT. You'll be fine!

Yes

Thanks for the advice, this is very true tbh I agree.

All the best sorry I couldn't help this time

dw Zacken had the name of the method I was looking for, so long lmao but just a small step from linear interpolation from fp1 thnx tho