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Is given a function:
f(x)=x2 + px + q
Prove that:
f(x+1) + f(x-1)= 2+2 f(x)

  • Maths -

    just plug in the values:

    f(x+1) = (x+1)^2 + p(x+1) + q
    f(x-1) = (x-1)^2 + p(x-1) + q

    add them to get

    2x^2 + 2 + 2px + 2q
    2(x^2+px+q) + 2
    2f(x) + 2

  • Maths -

    Steve thanks very much, may i have your email id so i can ask a question with integrals/limits which i cant write here

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