find the value of a if P(X) = x³-3x
+ ax -15 leave remainder when divided by x-3
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Given :-
x³ - 3x + ax - 15
To Find :-
Value of a
Solution :-
x - 3 = 0
x = 0 + 3
x = 3
Now
0 = (3)³ - 3(3) + a(3) - 15
0 = 27 - 9 + 3a - 15
0 = 27 - 24 + 3a
0 = 3 + 3a
-3 = 3a
-3/3 = a
-1 = a
Value of a is -1
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