COMPLETELY DIVISIBLE by the polynomial x – 8, we need to satisfy the FOLLOWING condition:The REMAINDER should be 0, on dividing the former polynomial with the latter.We take x – 8 as the divisor, and 3x2 + ax – 12 as the dividend.We obtain the remainder as:(a + 22.5)x = 0⇒ a = -22.5∴ The required value of a is -22.5