Question

Find the value of 'a' if division of a x cube + 9 X square + 4 x -10 by X + 2 leaves a remainder 2...

Answer 1

Answer:

a = ∛2

Step-by-step explanation:

let f(x) = ax³ + 9x² + 4x - 10.

if this is divided by x+2 it leaves remainder 2.

f(-2) = 2 => a(-2)³ + 9(-2)² + 4(-2) - 10 = 2

=> -8a³ + 18 = 2

=> 8a³ = 16

=> a³ = 2

=> a = ∛2