find the reminder when x3-ax2+6x-a is divided by x-a
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5
Answer: 5a
Step-by-step explanation:
By factor theorem, remainder if p(a), when P(x) is divided by x-a
p(x)= x^3-ax^2+6x-a is divided by x-a,
Put x-a= 0, x= a
Put x=a in P(x) = x^3-ax^2+6x-a
Remainder= P(a) = a^3- a×a^2 +6a - a
= a^3- a^3 +6a- a= 5a
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