Question

if axcube+9xsquare +4x-8 is devided by x+3,then remainder will be -20.find the value of a

Answer 1

Hlo friend.. Cutiepie Here..

Here is ur answer :

p( x) = ax³ + 9x² + 4x - 8

g (x) = x + 3

Put g(x) = 0

x + 3 = 0

x = -3

P(-3) = -20

a( -3)³ + 9 ( -3) ² + 4 (-3) - 8 = - 20

-27a + 9 × 9 - 12 - 8 = -20

-27a + 81 - 20 = -20

-27a + 61 = - 20

-27 a = - 20 - 61

-27a = - 81

a = - 81 / - 27 ( minus minus cancel)

( 27 × 3 = 81)

a = 3


HOPE IT HELPS YOU..