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