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The sum of the remainders obtained when (x + (k+8)x + k) is divided by (x - 2)
or when it is divided by (x + 1) is zero. Find the value of k.
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Answer:
p(x)= x2+(k+8)x+k
g(x)1= x-2
g(x)2= x+1
on dividing p(x) by g(x)1, we get the remainder r(x)1= 3k-6
on dividing p(x) by g(x)2, we get the remainder r(x)2= 9
r(x)1 + r(x)2 = 0
on substituting the correct values, we get k=-1
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