Question

Question:
Find remainder when x³ - ax² +6 - a is divisible by (x-a) ​

Answer 1

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polynomial p(x) = x³ - ax²+ 6 - a is divisible by (x-a) if p(a) = 0

p(a) = a³- a(a)²+6-a

p(a) = a³- a³ +6 -a

p(a) = 6 - a ≠ 0

Hence, remainder is ( 6 - a)

Answer 2

p(a) = a³- a(a)²+6-a

p(a) = a³- a³ +6 -a

p(a) = 6 - a ≠ 0