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

User Janera
by
5.6k points

1 Answer

6 votes

Answer:

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

User Cprakashagr
by
7.1k points
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