find the remainder when p(x) = x^3 -9x^2 -ax-a when it is divided by f(X) =x-a
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1
Step-by-step explanation:
Let p(x)=a
3
+ax
2
+2x−a and
g(x)=x−a
=>x−a=0
=>x=a
The remainder when p(x) is divided by g(x) is p(3) (By Remainder Theorem)
Thus, p(a)=a
3
−a(a)
2
+2(a)−a
=a
3
−a
3
+2a−a
=a
Therefore,
Remainder=a
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