How Do Higher-Degree Polynomials Work in SAT II Math?

Thread starter lLovePhysics
Start date Aug 11, 2007
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Sat Sat math

AI Thread Summary

The discussion focuses on understanding higher-degree polynomials and their properties, particularly the Remainder Theorem, which states that dividing a polynomial P(x) by x-r yields a remainder of P(r). Users explore whether testing these concepts is beneficial and discuss the nature of polynomial zeros, including irrational and complex roots. Additionally, there are inquiries about solving variation problems and probability, specifically how to calculate the probability of at least one event occurring using complementary probabilities. The conversation also touches on graphing functions and the interpretation of mathematical expressions, emphasizing the importance of clarity in notation. Overall, the thread serves as a collaborative platform for clarifying complex mathematical concepts in preparation for the SAT II Math exam.

Nov 28, 2007

lLovePhysics

Also, I dont' really get inverse trig functions, when you calculate arcsin(2/3) on your calculator, it only gives you the value that is within the "conventional domain" of -pi/2<=x<=pi/2 right?

However, when you solve for the angles of a trig solution like in the problem: 3\sin^{2}\theta+10\sin \theta-8=0, you need to look for the reference angles? That is, the angles outside the conventional domain? (2nd quad, in this case)

Can someone come up with a general rule for this? Why do reference angles qualify as a solution when it is outside of the arcsin domain?

Last edited: Nov 28, 2007