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Question
If f(x) = x3 + x2 − ax + b is divisible by x2 − x write the value of a and b.
Solution
We are given f(x) = x3 + x2 − ax + b is exactly divisible by x2 − x then the remainder should be zero
Therefore Quotient = x+2 and
Remainder `= x(2 -a)+ b`
Now, Remainder = 0
`x (2 - a)+ b = 0`
`x ( 2 - a) + b = 0 x + 0 `
Equating coefficient of x, we get
`2 - a = 0 `
` 2 = a`
Equating constant term
b = 0
Hence, the value of a and b are ` a= 2 , b = 0 `
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