Thread: Problem 31
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Old July 17th, 2007, 08:43 PM
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Default Problem 31
1)Let f(x),g(x),h(x),r(x) be polynomials such that:
f(x^5)+xg(x^5)+x^2h(x^5)=(x^4+x^3+x^2+x+1)r(x).
Show that x-1 divides f(x).

2)Below is a unit circle with 7 equally spaced points. Find the product of all the line segments shown.
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