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Find the values of a and b so that the p...

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

Text Solution

Verified by Experts

`f(x) = x^3 - 10x^2 + ax + b`
f(x) is divisible by `(x-1) ` and `(x-2)`
so remainder =`0`
when f(x) is divisible by `(x-1)`
`x-1=0`
`x=1`
R=`f(1)`
`= (1)^3 - 10(1)^2 + a+b = 0`
...
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