Question

For what value of a is the polynomial x³+2x²- 3ax - 8 is a multiple of x-4 ?​

Answer 1

Answer:

-17/4

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

Answer 2

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-17/4

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