Question

If 3 is one zero of the polynomial f(x) = 9x² - 3(a - 1)x + 5, then the value of a is?

(a) 81/5 (b) 95/9 (c) 40/9 (d) None of these

Answer 1

Answer:

Hi

the correct answer is b

95/9

*HAPPY LEARNING*

Answer 2

The required value of a is 95/9. (Option b)

Given:

f(x) = 9x² - 3(a - 1)x + 5

One zero=3

To find:

The value of a

Solution:

We know that the polynomial's zero will make the value of the polynomial equal to 0.

So, by putting the value of the zero in the given polynomial, we get

f(3)=9($3^{2}$)-3(a-1)×3+5

f(3)=0

On equating,

9×9-9(a-1)+5=0

81-9a+9+5=0

81+14-9a=0

95-9a=0

95=9a

95/9=a

Therefore, the required value of a is 95/9.