Past Papers’ Solutions  Cambridge International Examinations (CIE)  AS & A level  Mathematics 9709  Pure Mathematics 2 (P29709/02)  Year 2012  OctNov  (P29709/22)  Q#3
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Question
The polynomial is denoted by p(x).
i. Find the quotient when p(x) is divided by .
ii. Hence solve the equation p(x)=0.
Solution
i.
Hence quotient is and remainder is .
ii.
We are required to solve;
When a polynomial, , is divided by a nonconstant divisor, , the quotient and the remainder are defined by the identity;
As demonstrated in (i);
Since we are looking for solution of;
Therefore;
Now we have three options.












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