Question

If product of zeros of polynomial p(x)=3ax²+5x+9is 3 then find the value of a

Answer 1

Answer:

a=

Step-by-step explanation:

p (x)=3ax2+5x+9

let the zeroes be

$\alpha \: and \: \beta$

Given:

$\alpha \beta = 3$

$\alpha \beta = - \frac{b}{a}$

$\frac{9}{3a} = 3$

$9 = 3 \times 3a$

$9 = 9a$

.°.

$a = \frac{9}{9} = 1$