Mathematics (AS & A Level) · Oct / Nov 2024 · Paper 31 · Question 1

The polynomial x ax x b 4 5 3 2 + + + , where a and b are constants, is denoted by ( )x p . It is given that ( ) x 2 1 + is a factor of ( )x p . When ( )x p is divided by ( ) x 4 - the remainder is equal to 3 times the remainder when ( )x p is divided by ( ) x 2 - . Find the values of a and b. [5]

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