Question

find the value of a and b so that tbe polynomial(x^3-10x^2+ax+b)is exactly divisible by(x-1)as well as (x-2)

Answer 1

as f(x) is exactly divisible by x-1and x-2
f(1)=0 and f(2)=0
1-10+a+b=0
a+b=9
2a+b=36
solving
a=27, b=-18



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