find the remainder when x cube minus a x square + 6 x minus A is divided by x minus A
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Let the polynomial be =
p(x) = x³-ax²+6x-a
Then g(x) = x-a
To Find : It's remainder when p(x) is divided by g(x) .
Solution :
Consider g(x) = 0
x-a=0
x = a
Put x = a in p(x)
p(x) = x³-ax²+6x-a
= a³-a×a²+6a-a
= 5a
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