2. Find the remainder when x3 - ax2 + 6x -a is divided by x - a.
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Solution
f(x)=x^3-ax^2+6x-a
d(x)=x-a is comparing with x-c
c=a
according to factor theorem
f(c)=0
f(c)=a^3-a×a^2+6×a-a
=a^3-a^3+6a-a
=6a-a
=5a
So,the remainder Will be 5a
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