Question

if. x-2 is the factor of polynomial x5-3x4—ax3+3ax2+2ax +4, then find the value of a​

Answer 1

Step-by-step explanation:

f(x) = x5 - 3x4 – ax3 + 3ax2 +2ax + 4

f(2) = 0 as (x – 2) is a factor of f(x).

⇒ f(2) = (2)5 – 3(2)4 – a(2)3 + 3a(2)2 +2a(2) + 4 = 0

⇒ 32 – 48 – 8a + 12a + 4a + 4 = 0 ⇒ 8a = 12 ⇒ a = 3/2