Find the value of a and b so that x^4 + x^3 + 8x + ax + b is divisible by x^2 + 1.
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Step-by-step explanation:
by long division method
x²+x+7
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x²+1|x⁴+x³+8x²+ax+b
x⁴ +x²
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x³+7x²+ax+b
x³. +x
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7x²+(a-1)x+b
7x². +7
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(a-1)x+(b-7)
since x²+1 is factor of the given expression
(a-1)x+(b-7)= 0
so value a and b to satisfy the above equation
a =1 & b=7
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