Q15)Find the remainder when p(x)=x2-ax?+6x-a is divided by (x-a).
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Answer:
Here, p(x)=x
3
+ax
2
+6x−a, and the zero of x−a is a
So, p(a)=a
3
+a×a
2
+6×a−a
=2a
3
+5a
So, by the Remainder Theorem, 2a
3
+5a is the remainder when x
3
+ax
2
+6x−a is divided by x−a.
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