PAPER 1 5. FACTORS OF POLYNOMIALS page 5 J2006 1 The cubic polynomial f(x) is such that the coefficient of x³ is 1 and the roots of f(x) = 0 are -2, 1 + V3 and 1- - 13. (i) Express f(x) as a cubic polynomial in x with integer coefficients. (ii) Find the remainder when f(x) is divided by x- 3. (iii) Solve the equation f(-x) = 0.

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