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

Answer 1

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