Tuesday, May 7, 2013

Find the remainder when x3 – ax2 + 6x – a is divided by x – a.

Question 2. Find the remainder when x3 – ax2 + 6x – a is divided by x – a.
Solution:
Apply remainder theorem
=>x – a =0
=> x =  a
Replace x by  a we get
=> x3 – ax2 + 6x – a
=>( a)3 -a(a)2 + 6(a) - a
=>  a3sup> – a3 + 6a – a
=>  5a
Remainder is 5a

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