1.

Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.(2x3 – 2x2 + ax – a); (x – a)

Answer»

p(x) = 2x3– 2x2 + ax – a 

Divisor = x – a 

∴ take x = a 

By remainder theorem, 

Remainder = p(a) 

p(x) = 2x3– 2x2+ ax – a 

∴ p(a) = 2a3 – 2a2 + a(a) – a 

= 2a3 – 2a2 + a – a 

∴ Remainder = 2a3 – a2 – a


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