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Step-by-step explanation:
let the remainder,when p(x) is divided by x²-a²,Ax+B.
Then,
p = (x) = Q(x) (x²-a²)+Ax+B (1)
where,
Q(x) is the quotient.putting x=a and -a in(1)we get..
....... (2)
and p(-a) = 0 - aA + B =>-a = -aA + B (3)
solving (2) and (3) , we get
B=0 and A=-1
Hence the required remainder is -x
HOPE IT HELPS YOU
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