Question

If x - 2 is a factor of xcube - 3x +5a find the value of a

Answer 1

Answer:

14/5

Step-by-step explanation:

Given : (x - 2) is a factor of the below polynomial.

f(x) = x³ - 3x + 5a

If (x - 2) is a factor, then it will make the whole polynomial equals to zero.

x - 2 = 0

x = - 2

Also, f(- 2) = 0

→(- 2)³ + 3(- 2) + 5a = 0

→ - 8 - 6 + 5a = 0

→ - 14 + 5a = 0

→ 5a = 14

→ a = 14/5