Question

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

Answer 1

Step-by-step explanation:

Let p(x) = x3 +2x2 -3ax -8

Given x-4 is a factor

Therefore p(4) = 0

43 + 2(42) – 3a(4) – 8 = 0

64 + 32 – 12a – 8 = 0

12a = 96 – 8

12a = 88

a = 88/12 = 22/3

a = 22/3