Question

Find the value of a & b so that x^4+x^3+8x^2+ax+b is divisible by x^2+1

Answer 1

On dividing x^4+ x^3+ 8x^2+ax+b by x^2+1, we get the reminder => x(a-1) + (b-7).

Now, because the reminder should be zero.

So, x(a-1)=0 and (b-7)=0
a-1=0 and b-7=0

a=1 and b=7 .....ans.

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