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

let the given polynomial be

if f(x) is exactly divisible by (x-1).

if f(x) is exactly divisible by (x-2).

subtracting eq(2) by eq(1):

put a = -37 in eq(1):

thus the value of a is -37 and value of b is 26.

hope this helps you.

cheers!!

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