Question

if the product of zeroes of the polynomial
$p(x) = 2 {x}^{3} + 6 {x}^{2} - 4x + 9$
is 3. Then find its third zero​

Answer 1

Step-by-step explanation:

f(x) = 2x³ +6x² - 4x +9

Let three zeroes be a,B,Y

Product of 3 zeroes=-d/a =-9/2

Given Product of 2 zeroes = 3

or a.ß= 3

aßy=-9/2

=3y=-9/2

=y=-3/2

third zero=-3/2