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Standard XII

Mathematics

Properties of Determinants

50. Suppose f...

Question

50. Suppose f is a quadratic polynomial, i.e., a polynomial of degree 2, with leadingcoefficient 1 such that f(f(x) + x) = f(x)(x²+ 786x + 439) for all real number x. What is the value of f(3)?

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Suppose f (x) is a polynomial of degree 5 and with leading coefficient 2009. Suppose further that f (1)=1, f (2)=3,f (3)=5,f (4)=7,f (5)=9. What is the value of f (6).

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with real coefficients such that

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For a polynomial

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