From my MI-4 Problem Set:

The Polynomial P(x)= x^3 + ax^2 + bx + c has the property that the mean of it's zeros, the product of it's zeros, and the sum of it's coefficients are all equal. If the y-intercept of the graph of y=P(x) is 2, what is "b"?

Random Bonus:

Evaluate the summation of 4/(n^2 - 4) as n goes from 3 to 40. (No calculators.)

Note: Re- ( Read more... )

What is the sum of the roots in the polynomial 2x^3+5x-3=0?

Note: re-posted from my old OO.net blog

Happy June everyone! I apologize that this one is late. It's an easy one.

What is log base two of 9 in base ten? Basically (hahaha) how do you change a logarithmic statement from base two to base ten?

Note: re-posted from my old OO.net blog

Well here is another question:
Solve for x
6cos^2(x)=5sin(x)+7

Note: re-posted from my old OO.net blog

solve these for x:
sin(x/2)=-1/2
2cos(x/3)+1=0

Note: re-posted from my old OO.net blog

I'm loth to give up on the one math problem that hasn't gotten answered practically the second I post it. So, I've changed my policy and this one will remain up this week as well.

The management of a private investment club has a fund of $200,000 earmarked for investment in stocks and bonds. To arrive at an acceptable overall level of risk, the ( Read more... )

No calculators on this one, period. What is the sine of 11 pi divided by 6?

If that is too easy, try this: The management of a private investment club has a fund of $200,000 earmarked for investment in stocks and bonds. To arrive at an acceptable overall level of risk, the stocks have been classified into three categories: high risk, medium risk, ( Read more... )

What is 6x^3 - 15x^2 - 87x - 30 divided by 2x + 5? (Hint: the answer is still a polynomial)

Note: re-posted from my old OO.net blog

Anyone like math? Here it goes:

For the polynomial equation x^3+4x^2-2x+3=0, where r1, r2, and r3 are the roots of the equation, find:
1/r1 + 1/r2 + 1/r3.

If you are up for something a bit harder, you can also try to find:
r1/r2 + r1/r3 + r2/r1 + r2/r3 + r3/r1 + r3/r2 for the same equation. (It makes more sense when they actually look like fractions ( Read more... )