1.

Find the remainder when x3 – ax2 + 6x – a is divided by x – a.

Answer»

By the Remainder theorem, required remainder will be p(a) because 

x – a = 0 => x = a 

p (x) = x3 – ax2 + 6x - a 

p(a) = a3 – a x a2 + 6a – a = 5a 

Required remainder = 5a.



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