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Question
If f(x) = x4 − 2x3 + 3x2 − ax − b when divided by x − 1, the remainder is 6, then find the value of a + b
Solution
When polynomial f(x) = x4 − 2x3 + 3x2 − ax − b divided by x − 1 the remainder is 6.
i.e. f(1) =6
`(1)^4 - 2(1)^3 +3(1)^2 -a(1) - b= 6`
` 1- 2 +3 -a - b = 6`
`2 -(a +b) = 6`
`(a+b) = -4`
Thus, the value of a +b = -4.
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