Question

Find the values of a and b, so that the polynomial x^3
-10x^2+ax+b is exactly is divisible by (x-1) and (x-2)​

Answer 1

Answer:

let,

f(x) = x^3-10x^2+ax+b

f(1)=a+b-9=0

a+b=9,a=9-b

f(2) =2a+b-32=0

b=-14.

a=23.

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