Question

4 If 2 is a zero of
polynomial f(x) = ax² - 3(a-1)x-1,
then find the value of a.

Answer 1

a = 2.5

Explanation:

It is mentioned that 2 is a zero of the polynomial f(x) = ax² - 3(a - 1)x - 1

So that means :

⇒ f(x) = 0

⇒ x = 2

Substituting and solve for a :

⇒ 0 = a(2)² - 3(a - 1)(2) - 1

⇒ 0 = 4a - 6(a - 1) - 1

⇒ 0 = 4a - 6a + 6 - 1

⇒ 2a = 5

⇒ a = 2.5