Find the remainder when x3 – ax2 + 6x – a is divided by x-a.
Answers
Answered by
5
Answer:
5a
Step-by-step explanation:
x-a=0
∴ x=a
Now, Placing the value of x in the given polynomial :-
x³-ax²+6x-a
= (a)³-a(a)²+6(a)-a
= a³-a³+6a-a
= 6a-a [ As a³ gets cancelled by -a³ }
5a is the answer.
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Answered by
15
Let p(x) = x³−ax²+6x−a
x−a = 0
∴x = a
Remainder:
p(a) = (a)³−a(a²)+6(a)−a
= a³−a³+6a−a = 5a
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