Let f(x)= ar+bx+c be a quadratic function of the real variable z, where a, b, c...

 

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Let f(x)= ar+bx+c be a quadratic function of the real variable z, where a, b, c are some constants. Suppose you are told that f(k)=0 for every value k that z can take. (This means f(1) = 0, f(7.42)=0, f(-18/5)-0 etc.) Prove that a = b = c = 0. Let f(x)= ar+bx+c be a quadratic function of the real variable z, where a, b, c are some constants. Suppose you are told that f(k)=0 for every value k that z can take. (This means f(1) = 0, f(7.42)=0, f(-18/5)-0 etc.) Prove that a = b = c = 0.