Let p(x) be a monic polynomial of degree 6 such that p(1)=1, p(2)=2, p(3)=3, p(4)=4, p(5)=5, and p(6)=6. Find p(7).
awesome! I got the six equations and six unknowns but was intimidated to solve it.
+33661 "I got the six equations and six unknowns but was intimidated to solve it."
I'm not surprised. I wouldn't have bothered if I didn't have software available to do it! Although there is a matrix capability on the web2.0 calculator on the home page here, it just goes up to 4x4 matrices, so wouldn't have helped here. Probably Wolfram Alpha would do it, but I haven't tried it with this problem.
