Question

7. If the product of 2 zeroes of polynomial 2x3+6x2-4x+9 is 3, then find its third zero

Answer 1

Step-by-step explanation:

Let the zeroes of this cubic polynomial

(x³ + 6x² - 4x + 9) are alpha , beta & gama .

Given , alpha*beta = 3

we know that

alpha* beta *gama = -d/a = -9/2

3 * gama = -9/2

gama = -9/6 = -3/2

Third zero of above cubic polynomial is -3/2 .