GCEFurther MathematicsPolynomials and Partial Fractions2019

1. (a) Given that f(x) = 2x³ + 3x² - 11x - 6, show that (x - 2) is a factor of f(x). [2 marks] (b) Hence, factorize f(x) completely. [4 marks] (c) Express (7x² - 11x - 6) / [(2x + 1)(x - 2)(x + 3)] in partial fractions. [9 marks]

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