Question

When


`{x}^(3) + a {x}^(2) + 5x + 3`
is divided by

`x + 2`
the remainder is b. Determine the value of b​

Answer 1

x³ + ax² + 5x + 3. x + 2 = 0

x = -2

(-2)³ + a(-2)² + 5(-2) + 3 = 0

-8 + 4a - 10 + 3 = 0

4a - 15 = 0

4a = 15

a = 15/4