Question

for what value of 'a' is the polynomial x^3 + 2x^2 - 3ax - 8 a multiple of x-4​

Answer 1

Step-by-step explanation:

the given polynomial is

f(x)=2x^3-hx^2 +5x +9

if f (x) is exactly divisible by (x+2), put x+2 =0 ---》 x= -2

therefore f (-2) =0

2*(-2)^3 -h*(-2)^2 +5*(-2) +9=0

-16-14h-10+9 =0

4h = -17

h = -17/4