Question

If 1 is a zero of the polynomial p(x) = ax²-3(a-1)x-1, then find the​

Answer 1

Step-by-step explanation:

Given -

Zero of polynomial ax² - 3(a-1)x - 1 is 1

To Find -

Value of a

Now,

According to the question

a(1)² - 3(a-1)1 - 1 = 0

(Substituting x = 1 )

a - 3a + 3 - 1 = 0

- 2a + 2 = 0

- 2a = - 2

a = 1

Hence,

The Value of a is 1.