Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2004 | Oct-Nov | (P2-9709/02) | Q#4
The cubic polynomial is denoted by . It is given that is a factor of , and that when is divided by the remainder is -6. Find the values of and .
We are given that;
We are also given that is a factor of .
When a polynomial, , is divided by , and is factor of , then the remainder is ZERO i.e. .
We are also given that when is divided by the remainder is -6.
When a polynomial, , is divided by a , the remainder is the constant
We can write divisor in standard form as;
From we can substitute in above equation ;
Substitution of in any of these two equations yields value of . We choose;