AM Simultaneous Equations, Polynomials, Partial Fractions Question 2
The expressions ${{x}^{3}}-2{{x}^{2}}-3x-11$ and ${{x}^{3}}-{{x}^{2}}-9$ leave the same remainder when divided by $x+a$.
Find
(i)
the two possible values of $a$,
(ii)
the larger of the two corresponding remainders.
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