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and now to click it in and find out if we got it right two one zero I feel like Im cracking a safe right now one and one I am sharing with you today one of the coolest math facts I have seen in quite some time it deals with polynomials and determining a polynomial given some amount of information we are going to determine a polynomial from just two points normally two points are enough information to give you a line or a first degree polynomial but we can do this with any degree polynomial just to give you a sense of how this works first lets generate a polynomial and we are going to determine the equation of this polynomial from just two pieces of information the value of the polynomial when we plug in one and then the value of the polynomial when we plug in one more than whatever that initial value was so in the example that I have pulled up here F of 1 is equal to six were going to add one to that number one plus six is seven and were going to compute F of seven here we get a r