Question

if a polynomial 4x^3 - 16x^2 +ax is exactly divisible by [x-1] then find the value of a. hence factorise the polynomial

Answer 1

Answer:

a = 12

Step-by-step explanation:

As x-1 is a factor or p(x),

g(x) = x-1 = 0

=> x-1 = 0

=> x = 1

so p(1) = 4(1)^3 - 16(1)^2 + a(1) = 0

=> 4 - 16 + a = 0

=> a = 16 - 4 = 12

Hence a = 12