Question

The product of the zeroes 3x^2 +11x-2

Answer 1

produtof zeros = c/a

= -2/3

so, -2/3 is answer

hope it helps

Answer 2

Given quadratic polynomial is

3x² + 11x -2

f(x) = 3x² + 11x - 2

For zeros,

f(x) = 0

or

3x² + 11x - 2 = 0

The following equation is in the form of,

ax² + bx + c = 0   , a ≠ 0

On comparing,

a = 3, b = 11, c = -2

We know that, Product of zeroes = c/a = -2/3

Thus product of zeroes is -2/3

Alternate way :

f(x) = 3x² + 11x - 2

3x² + 11x - 2 = 0

Making coefficient of x² = 1, i.e. unity

Diving whole equation with 3

$\frac{3x^2 + 11x - 2}{3} = \frac{0}{3}$

$x^2 + \frac{11}{3} x - \frac{2}{3} = 0$

Comparing it to general equation,

x² - Sx + P = 0

where S is sum of zeroes and P is product of zeroes (coefficent of x² = 1)

P = -2/3