If f(x) =x4 - 2x3 + 3x2 - ax - b when divided by x-1, the remainder – InterviewSolution

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1.

If f(x) =x4 - 2x3 + 3x2 - ax - b when divided by x-1, the remainder is 6, then find the value of a + b

Answer»

f(x) = x⁴ - 2x² + 3x² - ax - b

Given f(x) is divided by (x-1), then remainder is 6

f (1) = 6

1⁴- 2 (1)³ - 3 (1)² - a (1) - b = 6

1 - 2 + 3 - a - b = 6

- a - b = 4

a + b = - 4

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