find the remainder when x³ - ax² + 1 divided by x-a
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Refer that above pic.
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Answer:-
Your Answer Is 1.
Explanation:-
The remainder can be find out by 2 methods:-
- Long Division Method.
- Remainder Theorem.
1) By Long Division Method:-
[Done In the ATTACHMENT].
2) By Remainder Theorem:-
Since x³ - ax² + 1 is divided by x-a so by Remainder theorem we get,
↦ x - a = 0.
↦ x = a.
So The value of x is a.
By putting the vakue of x we get,
↦ x³ - ax² + 1.
= (a)³ - a(a)² + 1.
= a³ - (a × a²) + 1.
= a³ - a³ + 1.
= 0 + 1.
= 1 = Remainder.
Therefore the remainder is 1.
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