Question

If 2 is a zero of polynomial
f(x) = ax^2 -3(a – 1)x - 1, then find the value of a.​

Answer 1

Answer:

a = 5/2

Step-by-step explanation:

$f(x) = a {x}^{2} - 3(a - 1)x - 1$

$f(2) = a \times {2}^{2} - 3(a - 1) \times 2 - 1$

$0 = 4a - 6a + 6 -1$

$0 = - 2a + 5$

$a = \frac{5}{2}$