Question

# The value of ab so that x4 + x + 8x2 + ax + b is divisible by x2 + 1, is

Solution Ans: 7
Ifx4+x3 +8x2 + ax +bis exactly divisible by x2+1, then the
remainder should be zero.
On dividing the polynomial by x2 +1, we get,
+1)x4 + x3 + 8x2 + ax + b (x2+x+7
x + x²
x3 + 7x2 + ax + b
+x
7x2 + x (a - 1) + b
+7
7x2
x (a-1)+ 6-7

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